Question 4 If f and g are the functions whose graphs are shown, let h(a) =9(f(x)). Find h'(1). -2 oter your anoweras an lateger or aredueel fraction. Question 5

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

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: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second…

A: Given:

Q: Question 17 Using the definition of a derivative, find s' (r) given s() =-x2 2x +3. Do not include s…

A: Given:

Q: (а) (b)

A: To plot the graph for f’(x) and f” (x) consider the graphical meaning for f’(x) and f” (x) for the…

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: Question 2 Consider a function f with domain {x|x # 0} and the following derivatives: f'(x) = bx=1…

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Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: Question No 02: Compute the first-order Derivative for each of the following functions at the…

A: a. 5-point Central difference formula: f'x0=−yi+2+8yi+1−8yi−1+yi− 212h. x -0.5 -0.25 0 0.25 0.50…

Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: QUESTION 2 Let f(x) be a function with second derivative of f"(x) =(x+8)(7x –11)(x – 13). Determine…

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Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

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Q: Question 13: Find the derivative of: y = 7e8x ln(3-9x6)

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Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

Q: Question 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

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Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Question 9 Suppose 8 (x) = sec-(x²), what is the derivative of g with respect to x? 2x A 8 (x) =…

A: We need to find derivative.

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: Question 5 Find the derivative [f(x)]; f (x) = 3 ln (In (x²-3x + 5)²). O3(2x-3) ²-3x+5 3(2x-3)…

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Q: Question 9 Suppose 8 (x) = sec-(x2). what is the derivative of g with respect to x? 2 A 8 (x) = x4-1…

A: We have to choose the correct answer from the given options according to the given information

Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

Q: Note, derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln…

A: We know that loga u(x) can be written as : logau(x) = (ln u(x)) / (ln a) = p(x)

Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

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Q: 28. f(x) = arctan /x

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Q: Question 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

Q: Question 1 Find a classify the critical points of f(x)=-, using the two methods we learned in class:…

A: The given function is :f(x)=x55-x33 To find: Critical points of f, and  we need to classify them…

Q: Question 2: Use limit definition of derivative to solve the following questions. a) Does the graph…

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Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

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Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: Question 13. Obtain the derivative of the function f(x) = 2 ln(4x) Enter the answer as a function of…

A: topic - derivative

Q: Question 13 Find the second derivative of f(x) = x 3Inx O x(5+Inx) O 5x + Inx2 O x(5+Inx2) O 2x…

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Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true…

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Q: Question 3 Consider a differentiable function g with domain [0, 0). Given that g'(x) = a e" and…

A: If g'' is negative then x is point of maxima if g'' is positive then x is point of minima

Q: Question 2: Use this property of polynomials to calculate the derivative of 3 + x³, by first…

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Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Question 1 For the function f (x) = x* – 6x², • Draw a rough sketch on paper ( copy from graphing…

A: We are given with the multiple question and our guideline is solve first question so kindly repost…

Q: Question 1 Find the derivative of f(x) = 2x +3 Provide your answer below: f'(x) =O

A: Answer and explanation is given below

Q: Question 5 Use the second derivative test to find the relative maxima and minima of the given…

A: The objective is to use second derivative test to find the relative Maxima and minima of the given…

Q: 3 11. fx) I. shown. 12.

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Q: As discussed in class, #(2") = nr"-1 (the so-called Power Rule). Apply the Power Rule, combined to…

A: our objective is to find the derivative in the question a) applying power rule.

Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

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

Q: (1–2x)3 1+x2 dy Question (4): Find by logarithmic differentiation for f (x) dx

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) = at the point (4.-4,…

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Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true…

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