3. Determine the derivatives of the trigonometric functions of the following functions A. f(x) = - 6 sin x + 8 cos x B. f(x) = 3 cos x C. f(x) = 5 tan x +9 sin x %3D

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A: Derivative.

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A:

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A:

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A: use formula of differentiation of products of two function

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A: given, f ''(θ) = sin(θ) + cos(θ),    f(0) = 5,    f '(0) = 1 to find f.

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A:

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A: Given,           f(x) = sin(x)3 + 4sin2(x)  and interval =0, 2π

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A: Using chain rule to find derivatives of trigonometric function.

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A:

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A: Let's find.

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A:

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A:

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A:

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A: u(x,y)=tan-1yx

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A: Given: y=lnsinx, y=sin23x

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A:

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A: We will find the solution in the following step

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A:

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A: Let's find.

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A: As per Bartleby guidelines, for more than one questions asked, only one is to be answered. Please…

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A:

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A: Solution

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A: topic - derivative of a function

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A:

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A: option(d) is correct f(x) = 2 cosx

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