2f' (x)+3 If g(x) and f(0) = 1, f'(0) = 3, f"(0) = 2. Then g'(0) %3D f(x) (а) —8 (b)8 (с) — 23 (d) 23

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: (a) / (2.x4 + Vx3 + 4e* + + 8) dx - (b) / = x3 + 3x – 4 dx - x2 (c) (x + 4)(x³ – 9) dx .3 -

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Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: h(x) = 4(2x – 3)*(2x – 5)³ , find h'(x). Factor Fully.

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

Q: Suppose that f(2) = -3, g(2) = 2, f '(2) = -4, and g'(2) = 5. Fir (a) h(x) = 5f(x) – 4g(x) h'(2) =…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: f(x) f (x) a (x) g' (x) 1 0 -4 -3 -2 2 -4 -3 -3 3 -4 4 5 14 4 6. 17 27 31 h(x) = xf(x)+g(2x – 5)…

A: to find h'(3)

Q: Find f. f"(x) = 8x + 5, f(1) = 9, f'(1) = 3

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Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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Q: AF f(1) = 6 glD=5 h(1) = 3 f'(5)=-7 g'(5) = -11 (5) = 15 f" (-11) -2 - g" (-11) = 3 f(1) = 4 g(1) =…

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Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

Q: Find f'(x) and simplify. X + 8 f(x) = Зх — 4 (x² + 8) O A. (3) - (3х - 4)(2x) [3х - 4)2 (3x – 4)(2x)…

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Q: r(x)=f(g(h(x)))，h(1)=2, g(2)=3 h'(1)=4, g'(2)=5, f'(3)=6, r'(1)=?

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Q: sinh(2 In(c)) = %3D (A)를 + 옮 2c (B) c2 - (C)를 1 - 1 (D) c-! (E) 0 10:12 AM

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: If f'(x) = 3x2 + 2x and f(2) = 3, then f(1) = (A) – 10 (B) -7 (C) 10 (D) 13

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: If f'(x) = 3x + 2x and f(2) = 3, then f(1) = %3D (А) —10 (B) -7 (C) 10 - (D) 13

A: We have given f'(x) and f(2) =3 .  We have to find the value of f(1)

Q: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: 3 +5 - dx =

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Q: Find f (x) and simplify. x +5 f(x) = Зx-2 Which of the following shows the correct application of…

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Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

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Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: If f(x) + x (f(x))² = 34 and f(1) = 2, then f'(1) = %3D

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Q: If F(x) = f(g(x)),

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Q: If f(2)=1, f'(2)=5, g(2)=2, and g’(2)=-3, then d *) |x=2

A: Given,          f2=1, f'2=5 , g2=2 and g'2=-3

Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: If f(x) = 5x4 – 2x3 –x² + 3x – 1, then | f'(0) = d2 ;f(0) = dx f"'(x)= d4 ¡f(x)= dx

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Q: Suppose H(x) = f(g(x)) and %3D f(14) = 3 f' (2) = 13 g(14) = 2 d (14) = 4 Find H' (14)

A: Chain rule of differentiation:

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: 2 If f(x) = (x³ +3x)“, what is f'(æ)? O f'(x) = (x³ + 3x) O f (x) = (x³ + 3æ) (3a² + 3) O f'(x) = 2…

A: Follow the steps.