Question

Find the critical points of f(x)=(2^x)(sin(x) . I can only find -.96, but my online homework is telling me there are two more.

Answer 1

is this
\[f(x)=2^x\sin(x)\]?

Answer 2

derivative is
\[2^x(\cos(x)+\ln(2)\sin(x))\]

\[2^x>0\] so you have to solve
\[\cos(x)+\ln(2)\sin(x)=0\] good luck, but i think there might be several