f-\(x) = sin='(x) а. 2'2 f-l(x) = cos-'(x) (-) b. 2' 2 f-|(x) = tan¬'(x) c. [0, n] f-(x) = cot"(x) d. [o. 플)u(플, 피] f-l(x) = csc=(x) е. f-l(x) = sec='(x) %3D

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A:

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A: We will find out all the required values.

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A: To prove the derivative formula for inverse trigonometry function we keeo the equation in terms of x…

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A:

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A: We will simply do the differentiation with respect to x for each term as follows

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A: Consider the given function: Using the chain rule for differentiating the values in the function.

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Q: Find f''(x) if f(x)=ex cos(x)+x3

A: Find f''(x) if f(x)=ex cos(x)+x3

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A: The given function is y=ln cscx.

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A: