If f(x) = xe"+æ") , then f'(x) = %3D (A) (e² + x³) x(e*+a°-1) (B) (e* + 5x4) In(x) xe"+x*) (C) (e* + 5x) In(x) + e +x e +x (D) (In(x) + +e") x(e"+r") (E) ((e* + 5x') In(x)+ t) x(e*+a")

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: Suppose F(x) = f(x6), G(x) = (f(x)) and: a³ = 4, f(a) = 3, f'(a) = 15, f'(aº) = 10. Find: (a) F'(a)…

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

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Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (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 F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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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: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

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: Let f(x) = e-3z* . Find f'(x). A) f'(x) = e-6z B) f'(x) = -6xe-3x² C) f'(x) = 6xe-32? D) f'(x) = 2xe…

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5…

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ;…

Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

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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: Suppose F(x) = f(x³), G(x) = (f(x))³ and: a² = 10, f(a) = 3, f'(a)=4, ƒ'(a³) = 8. Find:

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Q: = (F(x)). Let F(x) = f(f(x)) and G(x) You also know that f(3) = 12, f(12) = 3, f'(12) = 7, f'(3) =…

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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Q: Let F(x) = f(x³) and G(x) = (f(x))³. You also know that a² = 11, f(a) = 3, f'(a) = 6, ƒ' (a³) = 14…

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Q: If g(x) = f(x² + 9x) and f'(10) = 3 , %3D %3D then g'(1) = (A) 11 (B) 3 (C) 33 (D) 29 (E) 87 (A) (B)

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