5. Applications of Derivatives

If $f\(\left\)(x\(\right\))=x^3+1$, use the linearization $L\(\left\)(x\(\right\))$ at $a=5$ to approximate $f\(\left\)(5.1\(\right\))$.

If $f\(\left\)(x\(\right\))=\(\sqrt{x}\)+12$, use the linearization $L\(\left\)(x\(\right\))$ at $a=16$ to approximate $f\(\left\)(16.01\(\right\))$.