Question

Differentiate the functions with respect to x.

Answer 1

$\mathrm{Let}f\left(x\right)=\sin \left(x^2+5\right),u\left(x\right)=x^2+5,\mathrm{and}v\left(t\right)=\sin t$
$\mathrm{Then},\left(vou\right)=v\left(u\left(x\right)\right)=v\left(x^2+5\right)=\tan \left(x^2+5\right)=f\left(x\right)$
Thus, f is a composite of two functions.

Alternate method