Differentiate $\tan x$ and $\sec x$ w.r.t. $x$ using the formulae for differentiation of $\frac{u}{v}$ and $\frac{1}{v}$ respectively.

Suppose $f\left(x\right)$ is the derivative of $g\left(x\right)$ and $g\left(x\right)$ is the derivative of $h\left(x\right)$. If $h\left(x\right)=a\sin x+b\cos x+c,$ then $f\left(x\right)+h\left(x\right)=$