If ƒ(2) = 3, ƒ¹ (2) = −2, g(2) = 4, and g′ (2) = −3, find h' (2) if h(x) = f(x) × g(x). 1 O 17 -17 O 14

Q: If f′(2)=3, and g(x)=9f(x), what is g′(2)?

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Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

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Q: Let h(x) = f(x)g(æ). If f(x) = –3x² + 2æ – 3 and g(x) = -322 + 4x + 3, what is h' (1)? %3| Do not…

A: Given function is h(x)=f(x)g(x) where f(x)=-3x2+2x-3 , g(x)=-3x2+4x+3 f(1)=-3(1)2+2(1)-3=-3+2-3=-4…

Q: f(x) = x²e²

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Q: If ƒ′(0) = 6 and g(x) = ƒ(x) + ex + 1, find g′(0)

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Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: If f(x) In - In( + o). + e6x, find f (0).

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Q: Suppose f(x) = vx – 3 and g(x) = x² + 5. Which of the following is a formula for fo g)(x)? Suppose…

A: We will find out the required values.

Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

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Q: 7. Find the value of h(2) given that (ho gXx)= 4x +4x+4 and g(x) =2x + 1.

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Q: If h(x) = [f (x)]2 + 1g(x), determine h(1) and h(1), given that f (1) = 1, g(1) = 4, f (1) = -1,…

A: Given: hx=fx2+gx  ……1   Also, f1=1g1=4……2   and, f'1=-1g'1=4……3

Q: 9. If (x-1)/(x) 3x²45x-2 X x²+2x 2x²-x-1 x² g(x) 6x²+x-1 find a relationship between f(x) and g(x).…

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Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: If h(x) = x - 1, then x is when h(x) = 1. а. 1 b. -1 -1 С. 2 d. 1

A: I think, there is some problem in question, so, don't worry I calculate both possibilities h(x) and…

Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: If h(x)=6ex−5, find h′(x).

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Q: If f(x)=2x-3, and g(x) is a function such that g"(0) = 4 and (fg)"(0) = -4, then g'(0) =

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Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: If f(x) = /3x and g(x)= /3 , then (f.g)(x) is NONE XV3

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Q: if f = {(1, −3)} 1) find h(x)=f(−2x−3)+4 2) if k = {(3,5)}, find a and b for which k(x) = af(bx)

A: Given: f={(1,-3)}.   k={(3,5)}

Q: 2. Find (f o g) (x) where f (x) = and g (æ) = x – 1 I +1 Be sure to simplify.

A: