Question

Differentiate and Simplify:
f(x)= e^(2x) * (x-1)

Answer 1

\[f(x)= e^{2x}(x-1)\]

Answer 2

Use the product rule.
\[f'(x)=e^{2x}*1+(x-1)*2e^{2x}\]
\[f'(x)=e^{2x}*2e^{2x}(x-1)\]
\[f'(x)=e^{2x}(2x-2)\]

Answer 3

Thank you!

Answer 4

f′(x)=e2x∗1+(x−1)∗2e2x
f'(x)= e2x(1+2x-2)
f'(x)=e2x(2x-1)