Find the derivatives of the functions. f(x)=2x^{x}-x^{2}e^{x}

Trent Carpenter

Trent Carpenter

Answered question

2021-06-12

Find the derivatives of the functions.
f(x)=2xxx2ex

Answer & Explanation

Alannej

Alannej

Skilled2021-06-13Added 104 answers

f(x)=2xxx2ex
Diffetrentiate both sides with respect to x
r(x)=ddx[2xxx2ex]
r(x)=2ddx[ex]ddx[x2ex]

For ddx[x2ex] apply the product rule
r(x)=2ddx[ex](x2ddx[ex]+exddx[x2])
Therefore,
r(x)=2ex(x2(ex)+ex(2x))
Simplify
r(x)=2exx2ex2xex

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?