Question

f(x)=e^5x
find f'(2).

Answer 1

We have
\[f(x)= e^{5x}\]
Let's find f'(x)
\[ f'(x)=\frac{d}{dx} e^{5x}\]
We get
\[f'(x)= 5\times e^{5x}\]
We have to find f'(2), Let's put x=2
\[f'(2)=5\times e^{5\times 2}=5\times e^{10}\]

Answer 2

did you take the derivative of 5x and then apply the power rule to get the 5 *

Answer 3

Yeah , \[\frac{d}{dx} e^{ax}= e^{ax} \times \frac{d}{dx}(ax)= ae^{ax}\]

Answer 4

i see. thanks!

Answer 5

the answer was 110132.33

Answer 6

e^10 = 22026.46579