Question

Differentiate the function f(x) = sin x ln(5x)

Answer 1

poduct plus chain rule

Answer 2

\[(fg)'=f'g+g'f\] use
\[f(x)=\sin9x), f'(x)=\cos(x), g(x)=\ln(5x), g'(x)=\frac{1}{x}\]

Answer 3

cosxln5x + sinx/x

Answer 4

typo there
\[f(x)=\sin(x)\]

Answer 5

the function is f(x) = sin(x) * ln(5x)

Answer 6

the derivative of ln(5x) is 5/x or 1/5x?

Answer 7

None.
Use chain rule
= (1/5x)*5= 1/x