cos (x) J = g(x): x2

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

A: Integral by parts

Q: Find the intergration of x^3(x^4-sine)^5 dx

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Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

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Q: Find Dxy for y = sinh-'(x5)

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Q: Solve using implicit differentiation.  e^3x/ e^2y = sin y

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Q: How do I verify d/dx(cos^-1(x))=-1/(sqrt(1-x^2)) using implicite differentiation?

A: Verify the result by implicit differentiation as follows.

Q: Solve using implicit differentiation.    y cos x = x2 - y2

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (2…

A: Given function is   Differentiating both sides with respect to x, we get

Q: Evaluate / x cos(128x)dx. Use capital C for your constant of integration.

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Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: Evaluate cos √6x dx using a substitution followed by integration by parts.

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: - $x² cos(x³) dx

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Q: (A) Ln(2) S Sinh(x) Cosh² (x) dx

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Q: 23

A: Given an equation

Q: by implicit differentiation. dx Find - (5x + 2y)1/3 = x2 dx

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Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

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: a- y= (cosx) (use logarithm differential)

A: To find dy/dx

Q: Evaluate: S Arctan 2 sin²x dx . Arctan 1 cos+x

A: Given,  ∫Arctan1Arctan2sin2xcos4xdx

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

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Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: Find y' by implicit differentiation. cos(x) + √y = 2 y' =

A: Explanation and solution is given below....

Q: Integrate: x² cos(2x) dx

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Q: 54, y = (ln x)cos* cos x %3D

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

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Q: 2. Integrate using Trig: cos° x dx

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Q: Find the second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

Q: Describe the method used to integrate sinm x cosn x, for m even and n odd.

A: Method to integrate sinmx cosnx ,for m even and n odd. Let m=2k and n=2k+1 ∫sinmxcosnx…

Q: Find * by implicit differentiation. 3 + 6x = sin(xy') dy Answer: dx ||

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Q: g(x) = cos ¹x+ 1-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: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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

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Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: x' sin 2x dx -3x 5. X cos 2x dx

A: We solve these integral by u.v formula of integration

Q: Use integration by parts to verify the reduction formula.

A: We have to verify the reduction formula using integration by parts, ∫cosn x dx=cosn-1 x sin…