f(x) = e^-x · x^3 · tan(x)

What´s the derivative of the function?

I realise that I´ll be needing step-by-step instructions on how to solve this :)

Question

f(x) = e^-x · x^3 · tan(x)

What´s the derivative of the function?

I realise that I´ll be needing step-by-step instructions on how to solve this :)

eliesaab · Answer

Is this your function
$$
e^{-x} x^3 \tan(x)$$

eliesaab · Answer

Use the product rule
$$
(u v w)'=u'vw + uv'w +uvw'$$

eliesaab · Answer

$$

f'(x)=-e^{-x} x^3 \tan (x)+e^{-x} x^3 \sec ^2(x)+3 e^{-x} x^2 \tan (x)$$

johnw · Answer

Is it possible to simplify it?

sooobored · Answer

to do that, you would need to add up like terms, which doesnt seem possible
you could always factor stuff out like the $$e^{-x}$$

johnw · Answer

ok