Differentiate h(x): sin¬'(x) 1+x

Q: dy Use implicit differentiation to find given dr tan(x + 2y) + cos y = x² – y²

A: From the given problem;   tanx+2y+cosy=x2-y2   Now differentiating with respect to x.…

Q: Find dy/dx by implicit differentiation.

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Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: Differentiate the function. y= ln(x3 sin2 x)

A: First, we simplify the given function using the multiplication and power rule of logarithm.

Q: dy using implicit differentiation. dx Find

A: We have to find dydx using implicit differentiationcos(xy)=y3x4

Q: In xy = x² + sin xy

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Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find dy/dx by implicit differentiation. tan-1(4x2y)= x + 2xy2

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Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: find the derivative.

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Q: Find dx 2 using implicit differentiation: In x + In y + e tan x = 0

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Q: Find the derivative of y with respect to x. y = 2x 4 sin -1 x

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Q: Use the First Derivative Test to find the relative extrema of ƒ(x)=· sin x on (0,27).

A: The given function is- fx=x2-sinx  Differentiating f(x) w.r.t x- f'x=12-cosx Put f'x=0,…

Q: dy Use implicit differentiation to find if sin(x®y®) = x. dx

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Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: Use implicit differentiation to find dy/dx in x4 + sin y = x3y2

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Q: Find dy/dx by implicit differentiation. x2y3 - 12xy2 = 11

A: Implicit Differentiation Method: 1. By taking d/dx on both sides of equation. 2. Then solve For y'.

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: Use implicit differentiation to find dy/dx. x2 + 7xy + y2 = 0

A: Given function: x2+7xy+y2=0

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: What value for a will make sinx { ,X # 0 2x f(x) = %3D 3D ,X = 0 a continuous function?

A: For a function f(x) to be continuous at x = a,limx→a-f(x) = limx→a+f(x) = f(a)

Q: Find the derivative of ,In sin-1) y = e %3D

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Q: Q1) Use implicit differentiation to find dy/dx if x cos(3x + 2y) = y sin x

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Q: Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: Given,

Q: Find by implicit differentiation. dx 4x3 + x?y – xy3 = 4 dx

A: Given equation, 4x3+x2y-xy3=4

Q: Evaluate sin(x) · In ( cos(x)) dx using integration by parts.

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Q: Find the most general antiderivative of the function. f(x) = 5 cosx-7 sinx

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Q: Differentiate the function y=ln(x5 sin2 x)

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Q: Verify the formulas by differentiation. ∫ 1/x + 1 dx = ln | x + 1 | + C, x ≠ -1

A: We have to verify by formulas of differentiation where expression is given as: ∫1x+1dx=lnx+1+C, x≠-1…

Q: Differentiate with respect to x. Y=sin5x

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Q: y = In(x² + 4) - x tan-1 (e) y = arctan(arcsin vx), (y = sech (tanh x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Compute for y" by implicit differentiation. sin y + cos x 1

A: This question is based on diffrentiation of implicit function.

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

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Q: differentiate the function: y= ln(x^9 sin^2(x)) y'(x)=

A: Given function as

Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: sinx f(x) = on [0, 2n] cos x-V2

A: Given :         f(x) = sin xcos x - 2 on 0, 2π   To determine the extrema of the above function…

Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

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Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

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Q: 31. Differentiate x+3xy2: =1- cos y using implicit differentiation. [Value of 3]

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Q: 1. Use implicit differentiation to find dy/dx when x 1 and y=1. у? + ху 3D 2.

A: Given y2+xy=2 when x = 1 and y =1

Q: dy Use implicit differentiation to find dx '+x² - y² = 10

A: Given; e^(xy)+x^2-y^2=10 We have to find dy/dx

Q: In (sinh x ), + tanh x j + 1-x k )dx 1- sinx

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Q: Verify the differentiation formula.

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Q: a) f sin(x) cos(x) dx,

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Q: Differentiate the function. y= (Sin x)In x

A: Given function - y = sinxlnx                   .............(1)Taking logarithm ln on both sides -…