2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: Given that f(x)=35x, determine f'"(x)

A: Apply the expotential function rule for an arbitrary base. [a^x]'=ln(a).a^x.(x)'

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: Find y'' in y = x2 (x3 - 1)5

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Q: Find y'' in y = x(2x + 1)4

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Q: Find the function f(x) if f'(x) = ex+ 2 +(3/x) and f(1) = 6

A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: Let F(x) = f(x³) and G(x) = (f(x))5 . You also know that aª = 14, f(a) = 3, f'(a) = 13, f'(a³) = 14.…

A: Since we have the expression of F(x) and G(x) in terms of f(x), to find the derivative of both F(x)…

Q: IF F"(X)=12X^2+24X-6 ,  F'(1)=10,   F(2)=20 , determine the function f.

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Q: A B C D E F f(x) X

A: To determine the points at which exactly two of fx, f'x and f''x are zero.

Q: f"(x) = 2x + 2 and f'(-1) = –3 and f(-1) = 0. Find f'(x) = %D and find f(3) = ...

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Q: Find g'(4) given that f(4) = -10, f'(4) = -9, and g(z) = Vif(x). %3D

A: Consider the handwritten solution.

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

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Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Find g'(3) given that f(3) = -4, f'(3) = 5, and g(x) = f(x). X Answer:

A: Given query is to find indicated.

Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

Q: Find F'(2) given that f(2) = 5, f'(2) = 6 , g(2) = -1, g'(2) = –7, and F(x) = f(x)g(x).

A: Given: f(2)=5f'(2)=6g(2)=−1g'(2)=−7andF(x)=f(x)g(x)

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

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Q: f(x) = x2sinx, then find f'(x) ?

A: The given function is  f(x) = x2.sinx

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find and interpret f'(4) and f''(4) f(x) = 2/

A: f(x)=2x To find: f'(4) , f''(4)

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: If f'(x) = 9xe" and f(0) = -5, then f(x) =

A:

Q: ga)= 2(5x£nx+3) '. Fiwo girey

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Q: if f(x)=cosx-3tanx, then f′(x)= f'(5)=

A: The given function is f(x)=cosx-3tanx

Q: For f(x) = x² x² Saldainia x a. f(2)=[ b. f' (2) = [ c. f(3) = f(2)= 4. find f(2). f'(2). and f(3)…

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Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

A: