g(x) + x sin(g()) = x² – 16 and g(4) = 0, then g'(4) =

Q: g(x)=(x²-3)(2x+x). Find g'(xr)

A: Given,            gx = x2 - 3 2x2 + 3

Q: Find the derivative of f(x)) at x = 3 if f(3) = 2, g(3) = = 5, f'(3) = 7, and g'(3) = 4.

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Q: Find g'(x) where g(x) = In(/tan(x²e")).

A:

Q: If g(x) = f(x) - h(x): find g'(x)

A: Given : gx = fx - hx

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: (a) f(z) = (z³ + 2x + 1)(2 + ) 31 b) f(z) = VI +2 1 (c) f(x) = 2x² – I

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Q: if f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1, then the derivative of f(x).g(x) evaluated at x =…

A: Given: f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1

Q: f(x) Assume that f(1) =1 and f'(1) = 4, and let g(x) Find the value of g' (1). The value of g' (1)…

A: Given:  f1=1,f'1=4 gx=fxx2 To determine: The value of g'1.

Q: Given f(x) = cotx 1 - csc x " then f'(x) = = 1 g(x) - 1 Find g(x).

A:

Q: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

A: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

Q: Find the anti-derivative of g(x) = 3x² which contains the point (-1,0). G(x) = 3x² - 1 O G(x) = x³ +…

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Q: g(x)=(x+-2x)x. Find g'(x).

A:

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) =…

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Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

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Q: Find the first derivative for the following function. g(x) = 4e3x*+2x %3D A. g'(x) = 4e3x*+2x +…

A: Given function: gx=4e3x5+2x Differentiate the above function w.r.t 'x' g'x=ddx4e3x5+2x

Q: f(x) = sin(sin()) then f' (x) =

A:

Q: f(x)+h(x)=g(x) what is g'(x)?

A:

Q: If h(x) = f²(x) – g°(x), f' (x) = -g(x) and g'(x) = f(x), then h'(x) is:

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Q: f(x)=x²+2x-6 has an inverse g(x).. 1 ƒ'(g(x)) Use g '(x)= g'(-6)= 110 to find g '(-6).

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Q: f(x) = 5x³+7x-5 has an inverse g(x). Use g'(x) = g'(-5)= 1 f'(g(x)) to find g'(-5).

A: