If g is the inverse of function f and f'(x) = sinx, then g'(x) is equal to (1) cosec{g(x)} 1 (3) sin{g(x)} (2) sin(g(x)} (4) None of these

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Q: c) If cos(2x + 7), then the inverse function f(x) = d) If In(1+x/3), then the inverse function…

A: Given that f(x)=cos(2x+π) and f(x)=ln(1+x/3). We need to find the inverse function f-1(x).

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A: We know that the derivative of x^n=nx^(n-1)

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Q: 1 if g is the inverse of function f and f(x) = 1+x? prove that g'(x)=1+{g(x)}"

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Q: Letf (x) be defined by f (x) x sin(-) for x # 0 and f (0) = 0. Find f' (0). O 1 Does not exist.

A: Please refer to the image below

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Q: If sin(x + y) – sin(x – y) = 2f(x) sin y, then f(x) is equal to C. tan x D. cos? x A. sin c В. cos x

A: Given; Sin(x+y)-Sin(x-y)=2f(x)Siny

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A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

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A: Given: f(x)=sinx.sin2x.sin3x

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A: NOTE: Refresh your page if you can't see any equations. . take derivative…

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A: topic - derivatives

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A: Obtain f(x) by integrating the given first derivative as follows.

Q: IF g(x) = sin(x), then g'(x) = cos (x) 9₁ (3) = IF F(X) = (sin x + 8 cos x, then F'(x) = 6 COS (X) -…

A: Since you have posted a question with multiple question, we will solve first two question for you…