Differentiate f(x)=cos−1(5x). Use exact values. f'(x)=

Q: Find the derivative of y = 6e x – cosx.

A: Given function, y=6ex-cosx Used formulas, ddxcfx=cddxfx  c=constantddxex=exddxcosx=-sinx

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

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 50th derivative of y = cos 2x

A:

Q: Find the derivative of  y=sin^-1(cos(x))

A: We can find the derivative as below

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: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(4x))* y'(x) =…

A: In this question we have to find differentiation by using logarithm.

Q: 1. Find the first derivative " if y = x sin 27x . dx

A: Given:  y=x sin 2πxTo determine the firstderivative.

Q: sin

A:

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 second derivative of the function. f(x) = cos(2x?) f "(x) =

A:

Q: Find the derivative of f(x) = (Cosx)*

A:

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

A: Given: y=cos4θ

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

A: Given,          y=5cosx

Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

A:

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 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: y = (cosx)ln*x|

A:

Q: Find the derivative of cos-¹(sin x)

A:

Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

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

A:

Q: Find the second derivative of the function.     f(x) = x cos x

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then…

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

Q: Let f (x) = 7 cos(Tx). Find the twentieth derivative of f (x).

A:

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: g(x) = cos ¹x+ 1-x

A:

Q: What is the derivative of: y = ln ln(1 − cos x)

A:

Q: sinx In (2) co cos x

A:

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

A:

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

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A: Given we have given the function y=cos(x) we have to find the first derivative of y = cos(x) at x =…

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

A:

Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

A:

Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the first derivatives of y = cos x tanx

A: Given: y=4cos x+1tan x

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

A: Topic  =Derivative

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

A:

Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

A:

Q: Find the first derivative of y = cos*x- sin*x.

A:

Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

A: