Let $M$ be a compact manifold and $F:M\to \mathbb{R}$ Morse function. Let $\phi_t$ be a flow generated by $F$ in the following way: $\frac{d\phi _t}{dt}=-\nabla F(\phi _t)$. Let $f=\phi _1$. Find $h(f)$, where $h$ is (topological) entropy of $f$.
I thought I should use the following: Morse function on compact manifold has finite number of critical points. But this means that there is a finite number of $t$-s and $x$-s such that $-\nabla F(\phi _t(x))=0$. This just gives me that : $\frac{d\phi _t}{dt}=0$ in finite number of points and I don't know what to do with this.