Question

f(x)=e^−0.8x⋅ln(10x)
Determine f′(x):

Answer 1

dont we use power rule?

Answer 2

no

Answer 3

is this
\[f(x)=e^{-.8x}\ln(10x)\]?

Answer 4

yes well theres a * in the middle but samething

Answer 5

wait product rule*** not power !

Answer 6

then it is a product, so you need the product rule
\[(fg)'=f'g+g'f\] with
\[f(x)=e^{-.8x},f'(x)=-.8e^{-.8x}, g(x)=\ln(10x),g'(x)=\frac{1}{x}\]

Answer 7

yeah, that one!