(a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the function cos x y = sin(x)+1 (a) Find the derivative of the function y = cos(cos(e*) (b) Let h(x) = g(x)/f(x). Use the following table to find h' (3) and h' (2).

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A: This question can be solved using the concept of ratio test.

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A: The solution is given below

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A: Use derivative for finding the  equation of tangent line .

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A: Note to student : Hello student! Thanks for posting your queries. But there are multiple questions.…

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A: 2CC=C+C2cos nx cosmx          =cosx(n+m)+cosx(n-m)I=∫02π cosnx cosmx  dxI=12∫02πcosx(n+m)+cosx(n-m)…

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A: This question can be solved using the concept of area under curve.

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A: Solution ) a) if you have find cos θ = - √3/2 We know that  sec θ = 1/ cosθ  Sec θ = 1/( - √3/2 )…