(cos(X^2))^2  Find f'(x)

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 derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the Derivative f(x) = cosh(In(4x))

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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 derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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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 derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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

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Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the derivative of y=cos4 x sin4 x Ans: 1/2 sin3 (2x) cos cos (2x) solution?

A: We simplify the given expression using the double angle property

Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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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: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

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Q: Find the 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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Q: Find the first four derivative  if  y= cosx

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Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Find the derivatives of the functions in Exercis

A: Chain Rule: f(g(x))'=f'(g(x))g'(x) Differentiation formulae: ddxsinx=cosxddxcosx=-sinxddxax=a

Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

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Q: y = In (csc 2)

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Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: What is f(2022) (cos x), the 2022nd derivative of f(x) = cos x? COS X sin a sina

A: To find 2022nd derivative of f(x) = cos(x).

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: sinx In (2) co cos x

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Q: cos X sin x + cosX

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Q: what is the first derivative of cosx^2(x^2+2)

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Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

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

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Q: In(cos(x)) Find the derivative of cos(In(x))

A: Derivative using quotient rule (f/g)'=(gf'-fg')/g2

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

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: 7) y=cos/2x+1

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: calculate the derivative y = cosh−1(3x)

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Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

Q: y = sin(3x²) cos(3x²)

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx