Question 1- True or False? if xs2 fax? If f(x) =+b ifx>2 then f (0) = 0 Question 2- Find h'(2). x+f(x) g(x) If h(x) = and f(2) = 2, f'(2) =-5,9(2) = 1, g'(2) = o Question 3- Determine the value of h'(-1) If h(x) = xf(x)a(x) and f(-1) = 2. f'(-1) = -3. a(-1) = -2. g'(-1) = 3

Q: What is the derivative of the function f(x) = e-2x?

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Q: Can you please answer this question and show all of the steps and say the correct letter

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Q: Q1/ Choose the correct answer: ( (1) The functions f. g and h are related by f(x) = g(x+1), g'(x) =…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Differentiate the function. g(x) = x2 - 5x + 19 g'(x) = %3D

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Q: • Find the derivative of f (x) = 7x4 + 9x³ – 5x² + x + 1. o Where did you use each differentiation -…

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Q: 2x? + 5x + 4 (1 point) Find f' (16) if f(x) : f' (16) = -5/2

A: here is quation of derivative we have to derivate function F(x)= 2x3/2 + 5x1/2 + 4x-1/2 f'(x)=…

Q: 7x² + 3x + 3 If f(x) = then: f'(x) =| f'(3) =

A: Given function fx=7x2+3x+3x To find the derivative of given function Quotient rule is used For any…

Q: 9) True or False. Circle True only if the statement is ALWAYS true. (a) True False f(x)g(x)] =…

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Q: How do you solve question 9?

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Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

Q: 3 Find a formula for f-'(x) if f(x) = ( x – 1 x + 1 f-'(x) = (5-1)'(2) =

A: Solve the function

Q: Find f''(x). f(x) = (x² + 1) * %3D f"(x)=

A: We have to solve

Q: Find derivative of f(x) = In (3x²-x) O (6x-1)/(3x²-1) O-1/(3x²-x) O6x/(3x²-x) O (6x-1)/(3x²-x)

A: given f(x)=ln3x2-x we know (i) d dx(lnx)=1x(ii) d dx(xn)=nxn-1

Q: Find f'(x). f(x) = (x* + 8) ¯º

A: Given : f(x)=(x4+8)-5.

Q: Find the derivative of the function. h(x) = 15x14 + 5x? – 2xª + 18x – 6 Step 1 We want to find the…

A: Solution: The objective is to find the derivative of the given function

Q: 5x + 5 If f(x) find: 5x + 5' f'(x) = | f'(5) = |

A: Given: fx=5x+55x+5 here  5x+5≠0⇒5x≠-5⇒x≠-1 and  fx=5x+55x+5=1 when x≠-1, To find: f'x and f'5.

Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Find f'(x) and f"(x). f(x) = x² - 4

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Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below

Q: If f(x) =x 3 -x find a formula for  f '(x)

A: Given fx=x3-x

Q: Find the inverse of f(x) = 11 x + 3. %3D f-'(x) =

A: Given:- f(x) = 11x+3 To find :- Inverse of f(x)  i.e. f-1(x)

Q: 7x-2 , find f (x). Answer: (Correct to 3 decimal places) f'(x) = (-5 x + Let f(x) = %3D -4x-5 1)/(_…

A: fx=7x-2-4x-5 Now let y=7x-2-4x-5

Q: Using the figure below, wheref' (5) = 2.1.f'(10) = 3.0.f' (15) = 3.7,f' (20) = 4.2, find (f-1)'(20).…

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Q: If f(x)= (sqrt(x)-6 )/ (sqrt(x)+6) find f'(x) find f'(3)

A: To determine the derivative (expression and the value at 3) , using quotient rule

Q: Find f'(x) and simplify. x² +2 f(x) = vvnicn of the following snows the correct application of the…

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