Question

A function f is defined on the interval [0,4], and its derivative is f'(x)=e^sinx - 2cos3x
On what interval is f increasing?
At what values of x does f have a local maxima?
How many points of inflection does the graph of f have?

Answer 1

\[f'(x)=e ^{sinx} - 2\cos3x\]

Answer 2

when is \[f'(x)>0\]solve

Answer 3

\[e^{\sin x}>2\cos 3x\]
\[\sin x>\ln(2\cos 3x)\]

Answer 4

Okay. O.o