If `y=log((1x^2)/(1x^2))` , then `(dy)/(dx)=` (a)`(4x^3)/(1x^4)` (b) `(4x)/(1x^4)` (c) `1/(4x^4)` (d) `(4x^3)/(1x^4)` Find the length and mass of the wire, assuming the density of copper to be The cost of painting the total outside surface of a closed cylindrical oil tank at 60 paise per sq dm is Rs The height of the y = log( ( 1 – x 2) / ( 1 x 2) ) Or y = log( 1 – x 2) – log( 1 x 2) log(a/b) = loga – logb Now differentiating , dy/dx = ( 1/ 1 x 2) ( d/dx( 1 x 21 Inform you about time table of exam 2 Inform you about new question papers 3 New video tutorials information
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Y=log(1-x^2/1 x^2) find dy/dx- `dy/dx=1/(xy log10)cdot(yx cdot dy/dx)` In the line above we have applied the chain rule because `log(xy)` is a composite function On top of that we have applied product rule for `xy` to get Find dy/dx, if y=log sin x^2 neha287 neha287 Math Secondary School answered Find dy/dx, if y=log sin x^2 2 See answers chiyal chiyal Dy/dx =( 1/sinx^2 ) cosx^2 2x plz fir se SYED777 SYED777 Y=log sin x^2= dy/dx=1/sin x^2(cos x^2)(2x)=2x cot x^2 plz fir se btao pura solution
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The derivative of the function `y = log(x 1/x)` with respect to x, `dy/dx` has to be determined It is assumed that log in the problem refers to natural logarithmQuestion 1) Find Dy/dx Given That Y = (x^2 1) / (x^21) 2) Find Dy/dx Given That Y = (x^2 1) / (x^21) This problem has been solved! If xy = ex y, then prove that dy/dx = (log x)/(1 log x)2 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries
If y = log √(tan x), then the value of dy/dx at x = π/4 is given by A ∞ B 1 C 0 D 1/2 asked Apr in Differentiation by Kaina ( 304k points) differentiation4 years ago By rearranging the give differential equation we get , dx/dy =1/y x/ (ylogy) dx/dy x/ (ylogy) =1/y Now, calculate the integrating factor (IF), e ∫1/ (ylogy) =IF Taking, logy=t (say) differentiating on both sides we get, dy=ydt IF=e ∫dt/t =e logt =t, where t=logy now, solving in linear differential equation formMATHS Find arc length of y=logx from x=1 to x=2 dy/dx)^2=1/x^2 arc length=Int of sqrt(11/x^2)dx =Int of sqrt(1x^2)/x^2 =Int of sqrt(1x^2)/x from x=1 to x=2
Find the area of the sector bounded by this arc and the radii from A and B Mathematics An arc substend an angle of 105 degree at d centre of a circle of radius 6cm find the length of the arc if pi 22/7 Bobby Find the length (in cm) of an arc of a circle with radius 12 cm if the arc subtends a central angle of 30°97 EXERCISE 35 Q1 Find dy dx if, 1) x = at 2, y = 2 at 2) x = 2 at 2, y = at 4 3) x = e 3 t, y = e (4 t 5) Q2 Find dy dx if, 1) x = u u g14 g167 g169 g168 g1 g185 g184 1 2, y = 2 1 g11 g12 g14 g167 g169 g168 g1 g185 g184 u u 2) x = 1 2 u, y = log(1 u 2) 3) Differentiate 5 x with respect to log x Q3 Solve the followingIf Y Log Tan X 2 Find Dy Dx Brainly In For more information and source, see on this link https//brainlyin/question/
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Watch the complete video at https//doubtnutapplink/LdLpxMIf `y=logxsqrt(x^2a^2)\\ `, show that (`(x^2a^2)(d^2\\ y)/(dx^2)x(dy)/(dx)=0`CLASS 12,CL(1) 2/x 2 2/x 3 (2) 2/x 3 1/x 2 (3) 2/x 2 2/x 2 (4) none of these Solution Given y = (1 – x)/x 2 = 1/x 2 – 1/x Differentiate wrtx dy/dx = 2/x 3 – (1/x 2) = 2/x 3 1/x 2We have math\dfrac{d}{dx}\log (x \sqrt{1 x^2})/math math= \displaystyle\dfrac{1}{(x \sqrt{1 x^2})} \dfrac{d}{dx}(x \sqrt{1 x^2})/math math
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyIn calculus, Leibniz's notation, named in honor of the 17thcentury German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols dx and dy to represent infinitely small (or infinitesimal) increments of x and y, respectively, just as Δx and Δy represent finite increments of x and y, respectively Consider y as a function of a variable x, or y = f(x) Explanation Using the chain rule d dx f (g(x)) = f '(g(x))g'(x) and the standard derivative d dx (logx) = 1 x dy dx = 1 x2 1 d dx (x2 1) = 2x x2 1 Answer link
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Let y =(log x) x x log x Also, let u =(log x) x and v = x log x ∴ y = u v `⇒"dy"/"dx" = "du"/"dx""dv"/"dx"` (1) u = (logx) x ⇒ log u = log(log x) xShow that the function phi (x) = (c^2 x^2)^1 is a solution to the initial value problem dy/dx = 2xy^2, y (0) = 1/c^2, on the interval c < x < c Note that this solution becomes unbounded as x approaches plusminus c Thus, the solution exists on the interval ( delta, delta) with delta = c, but not for larger deltaCalculus Find dy/dx y^2=1/ (1x^2) y2 = 1 1 − x2 y 2 = 1 1 x 2 Differentiate both sides of the equation d dx (y2) = d dx ( 1 1−x2) d d x ( y 2) = d d x ( 1 1 x 2) Differentiate the left side of the equation Tap for more steps
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4 The derivative of an even function is always 1 an odd function 2 an even function 3 does not existSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreHomework Equations The Attempt at a Solution
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Y = log7 logx y = loge 7loge logx dxdy = loge 71 (logx 1 ) dxd logxdxdy = loge 71 logx1 x1 dxdy = loge 7xlogx1 ∴ dxdy = loge 7xlogx1 Homework Statement rewrite the equation in the form of linear equation Then solve it (1x^2)dy/dx xy = 1/ (1x^2) the ans given is y= x/ (1x^2) C / ( sqrt rt (1x^2) ) , my ans is different , which part is wrong ? Example 9 Find the general solution of the differential equation 𝑑𝑦/𝑑𝑥= (𝑥1)/ (2−𝑦) , (𝑦≠2) 𝑑𝑦/𝑑𝑥= (𝑥 1)/ (2 − 𝑦) , (𝑦≠2) (2 − y) dy = (x 1) dx Integrating both sides ∫1 〖 (2−𝑦)𝑑𝑦=〗 ∫1 (𝑥1)𝑑𝑥 2y − 𝑦^2/2 = 𝑥^2/2 x c 〖4𝑦 − 𝑦〗^2/2 = (𝑥
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Answer to Solve the differential equation xdy/dx y = xlog x By signing up, you'll get thousands of stepbystep solutions to your homeworkCOMEDK 08 If y = sin1 ((5x12 √1 x2/13)) , then (dy/dx) = (A) (3/√1 x2) (B) (12/√1 x2) (1/√1 x2) (D) (1/√1 x2) Check AKCET 15 If y= log ( (1x2/1x2)) then (dy/dx) is equal to (A) (4x/1x4) (B) (4x3/1x4) (1/4x4) (D) (4x3/1x4) Check Answer and Solut
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If y = (sin x) x sin1 (x) 1/2, find dy/dx Mention each and every step find dy/dx y = (log x) x (x) log x mention each and every formula and minute details find dy/dx mention each and every formula and minute steps and detail Y = x x e (2x 5) Differentiate x sinx w r to xVerify that x^2 cy^2 = 1 is an implicit solution to \frac {dy} {dx} = \frac {xy} {x^2 1} If you're assuming the solution is defined and differentiable for x=0, then one necessarily has y (0)=0 In this case, one can easily identify two trivial solutions, y=x and y=x If you're assuming the solution is defined and Ex 53, 11 Find 𝑑𝑦/𝑑𝑥 in, 𝑦 = cos–1 ((1− 𝑥^2)/( 1 𝑥2 )) , 0 < x < 1 𝑦 = cos–1 ((1− 𝑥^2)/( 1 𝑥2 )) Putting x = tan θ y
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Share with your friends Share 3 Follow 8 Manbar Singh, Meritnation Expert added an answer, on Manbar Singh answered this We have, y = log x cos x x 2 1 x 2 1 Let y = u v where u = log x cos x and v = x 2 1 x 2 1 Now, y = u v ⇒ dy dx = du dx dv dx 1 Let u = log x cos x ⇒ log u = cos x log log x ⇒ 1 u if y = log tan (∏/4 x/2) show that dy/dx = sec x donot go shortcut if y = log (x (1 x 2) 1/2 ) prove that dy/dx = 1/log (x (1 x 2) 1/2) 1/ (1 x 2) 1/2 Find dy/dx y = x x e (2x 5) mention each and every step Find dy/dx (x) 1/2 (y) 1/2 = (a) 1/2 Mention each and every step If y = tan 1 a/x log (xa/xa) 1/2, proveFind d2y/dx2 where y=log(x^2/e^2) y=log(x 2 /e 2 ) diff wr to x , we get dy/dx=1/(x 2 /e 2 ) (2x/e 2 ) =2/x diff wr to x again d 2 y/dx 2 =2/x 2 Thank
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Find dy/dx y = natural log of x^2 y = ln (x2) y = ln ( x 2) Differentiate both sides of the equation d dx (y) = d dx (ln(x2)) d d x ( y) = d d x ( ln ( x 2)) The derivative of y y with respect to x x is y' y ′ y' y ′ Differentiate the right side of the equation Tap for more steps Differentiate using the chain rule, which states thatClick here👆to get an answer to your question ️ If y = log ( 1 x^21 x^2 ) , then dydx is equal to Join / Login > 12th > Maths > Continuity and Differentiability > Derivative of Exponential and Logarithmic Functions If y = lo g (1 x 2 1Answer to Use logarithmic differentiation to find frac{dy}{dx} y =sqrt{frac{x^21}{x^21}} By signing up, you'll get thousands of stepbystep
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Find dy/dx if y = log(sin x) Get the answer to this question and access a vast question bank that is tailored for students1 and x 2 While it may not be possible to explicitly solve for y as a function of x, we can still find the effect on y from a change in x 1 or x 2 by applying the implicit function theorem Theorem 9 If a function F(y,x 1,x 2)=0 has well defined continuous partial derivatives ∂F ∂y = F y ∂F ∂x 1 = F x 1 ∂F ∂x 2Why create a profile on Shaalaacom?
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UP Primary and Upper Primary Schools to Reopen from 01 July UP state government has ordered that 15 lakh government primary and upper primary schools across the state will reopen from 01st July 21 CBSE Class 12 evaluation Criteria Class 10, 11 & 12 marks in ratio CBSE class 12 evaluation criteria is out95 ∴ dy dx = x xy y y xy x 2 2 2 2 2 2 g14 g14 g11 g12 g16 g16 g11 g12 2) Find dy dx if x y = y x Solution Given x y = y x Taking logarithm of both sides, we get ∴ y log x = x log y Differentiating both sides with respect to x, we get ∴
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