Question

How do you differentiate `f(x)=csc5x * csc2x` using the product rule?

Answer 1

`f=csc5x, g=csc2x`
`f'=-csc5xcot5x*5, g'=-csc2xcot2x*2`
`f'(x)=fg'+gf'=(csc5x)(-2csc2xcot2x)+(csc2x)(-5csc5xcot5x)`

Explanation:

To find the derivative of f(x) use the product rule but first separate the products into f and g then find the derivative of each function separately and put everything into the product rule.