Question

Find f’ (x)
f(x)=7x^e - 5e^x

Answer 1

Answer: I think f(x) Is 0

Answer 2

`f'(x)=7ex^(e-1)-5e^x`

Explanation:

Differentiation rules

`\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\frac{\text{d}y}{\text{d}x}=nax^(n-1)$\\\end{minipage}}`

`\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $e^(x)$}\\\\If $y=e^(x)$, then $\frac{\text{d}y}{\text{d}x}=e^x$\\\end{minipage}}`

Given function:

`f(x)=7x^e-5e^x`

Differentiate with respect to x using the differentiation rules:

`\implies f'(x)=e \cdot 7x^(e-1)-5e^x`

`\implies f'(x)=7ex^(e-1)-5e^x`