-1 х^ .xm-'(1-x)"-'dx So (х+r)m+n

Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

Q: Find the first and second derivatives.  f(x) = ln(5x+1)  Please explain and show how to do this…

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Q: Find the 1st derivative y=(x-1V2x-x t arcsin (x-1)

A: I am attaching image so that you understand each and every step.

Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

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Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

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: Integrate the square root of (1 - sin² x) dx.

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Q: Va2 -x2 y=Arcsin + 6. X

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Q: Find the first derivative y = (cosx)(sin5x)

A: Answer and explanation is given below

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: Find the 75th derivative of y=cos(2x)

A: Given function y=cos2x The 75th derivative has to be founded  first consider the smaller…

Q: find the second derivative and simplify the final result 4. y= 5/ (sin3x + cos3x)

A: y=5sin3x+cos3x Differentiating with respect to x, we get…

Q: FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- +4

A: Given,y=sinxx2+4sin y=xx2+4cos y y'=x2+4-x×2x2x2+4x2+4y'=sec y1x2+41/2-x2x2+43/2

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: Find the given derivative by finding the first few derivatives and observing the pattern that…

A: Given information:

Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

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Q: 83. Find the 50th derivative of y = cos 2x.

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Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

A:

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

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: Find the first derivative Complete Solution.  1.) t=sinθtanθ

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Q: y = csch /sec(x³ + 2)

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Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: е. у %3D Arcsin (1 — 2x) f. y = x² In x

A: topic - derivatives

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula:…

Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

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Q: Find the given derivative by finding the first few derivatives and observing the pattern that…

A: ddx (sinx) = cos xd2dx2 (sin x) = -sin xd3dx3 (sinx) = -cosxd4dx4 (sinx) =sinx.

Q: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: Given: f(x) = 1– sin² 4x . find the 5th derivative

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Q: Determine the first derivative of the ff. function y = arcsin sin (4x²)

A: Given that y=arcsin sin4x2 To find the first derivative: ddxarcsin sin4x2=11-sin24x2·ddxsin4x2…

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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Q: Find the derivative of flx)=Sin(7x'+91Cos(3x?)

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Q: 1. y= ArctanB %3D 3-V9-x2

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Q: Find dy/dx by implicit differentiation. 3x +у - 2 + х?у? У 3

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

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Q: 9 y = Arctan(+x, 1- 2x

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Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: dx 2 x--1

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Q: 14. y = In cos 4x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: f(x) = (6x – 7)(2x + 3) %3D

A: Given  f(x)=(6x-7)(2x+3)

Q: (d106/dx106)(sin(x))

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Q: s(w) = In( w - %3D

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: The second derivative of the given function is - 5 sin (2 - 5x)

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Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that…

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Q: y = Arcsin (e2x)

A: