Chapter 2.4, Problem 2QCE

Find $F^{\prime }\left(1\right)$ given that $f\left(1\right)=-1,f^{\prime }\left(1\right)=2.g\left(1\right)=3$ , and $g^{\prime }\left(1\right)=-1$ .

(a) $F\left(x\right)=2f\left(x\right)-3g\left(x\right)$

(b) $F\left(x\right)={\left[f\left(x\right)\right]}^2$

(c) $F\left(x\right)=f\left(x\right)g\left(x\right)$

(d) $F\left(x\right)=f\left(x\right)/g\left(x\right)$