Question

find the derivative of the function y = x^2csc5x

Answer 1

product and chain rules. product rule is f(x)*g'(x) + f'(x)*g(x)

Here are a few hints:
derivative of x^2 = 2x
use chain rule csc(5x) = -cot(u)csc(u)
where u = 5x

2x*csc5x + x^2*(5csc5x*-csc5xcot5x)
simplify your answer if you need to.

The final answer should look like this

x (2-5 x cot(5 x)) csc(5 x)
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Answer 2

thanks!