Existence of holomorphic function on the unit disc

Question

Does there exist a holomorphic function $f:D\to D$ where $D=\{z\in \mathbb{C} : |z|<1\}$ such that $f(1/2)=-1/2$ and $f'(1/4)=1$?

I tried with Schwarz pick lemma, but for that I need the value of $f(1/4)$ which is not given. So kindly tell me ow to do this.

Thanks.