Let G 6f- g, where the graphs of f and g are shown in the figure to the right. Find the following derivative. Ay 8- G'(5) y = f(x) 4- X 0fygk) 4 G'(5)

Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

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Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Find the derivative of g(r) = Do Not Simplify. +1

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Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: a. Find the derivative of f(x) = x2 - 5x at x. That is, find f′(x). b. Find the slope of the tangent…

A: Given: fx=x2-5x To Find: a. f'x=?b. Slope of tangent line of the given function at x=-1 and x=3

Q: 1-x Find the derivative of y = arctan %3D 1+x

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Q: The graph of a function is shown together with the tangent line at a point P. y 2 1 2 Estimate the…

A: According to given figure derivative of given function at point P is equal to slope of tangent Now,…

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

A: The given inverse trigonometric function is,

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: I am very confused on these two problems and I have homework due in 30 minutes.

A: Both problems concern finding deriviatives of functions ,using standard rules of differentiation

Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: (b) Find a general expression for dy - (x), the (implicit) derivative of y with respect to x, as a…

A: given rθ=2+2cos2θ   for θ∈[0,2π) (b) find a general expression for dydx let  x=rcosθy=rsinθ…

Q: Find the equation of the tangent to the graph xey +y-2x = In 2. %3D Evaluate the derivative of the…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: 1. • Let a be an unknown constant and 1 f(x) = VT + +a. Find the derivative of f(r) with respect to…

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Q: Consider the following. x2 f(x) = x + 2 Find the derivative of the function. f'(x) Find the slope m…

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Q: 1) tan x Find the derivative of y= = e

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Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

Q: Find the derivatives of the function defined as follows. y = -3e2sin x

A: The function: y=-3 e2 sin x

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

A:

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: Find the derivative of y=cosine-1(7/x) with respect to x.

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Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: Find the derivative of y = x 1 cOS x 2

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Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: 3x-4 1. Y= Arctan 4

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Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (x sinx…

A: (A) (1) Differentiate y w.r.t x using the quotient rule for differentiation.…

Q: Suppose the derivative of f exists, and assume that f(2) = 1, and f'(2) = 2. Let g(x) = x2f(x), and…

A: Apply the product rule to find the derivative of g(x) and then substitute the given values as…

Q: 2x Find the second order derivative of y = Tan 1-x

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Q: Suppose y is a function of x. Find the derivative (dy/dx) of the function.

A: We have to find the derivative of the given function   The given function is   x2y2=x2-y23

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: 1 Let f(x) X - 1 (a) Find the derivative f 'of f. 1 f '(x) = (x – 1) X* (b) Find an equation of the…

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Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

Q: Let g be a differentiable function such that g(1) = 3. We have computed its derivative as x2 g' (x)…

A: Given that g be a differentiable function such that g(1) =3  Derivative of g(x) is g'(x)=x22sinπx2

Q: Can you help me with this problem step by step?

A: Given:

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.

Q: Q. 2. a) Find nth order derivative of f(x) = In(2x-7). b) Find 3rd order derivative of y with…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…