Question

Find the derivatives of the given functions. h(x)=2\sec x+3\tan x+3x

Derivatives
Find the derivatives of the given functions. $$\displaystyle{h}{\left({x}\right)}={2}{\sec{{x}}}+{3}{\tan{{x}}}+{3}{x}$$

$$\displaystyle{h}{\left({x}\right)}={2}{\sec{{x}}}+{3}{\tan{{x}}}+{3}{x}$$
$$\displaystyle{h}'{\left({x}\right)}={\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({2}{\sec{{x}}}+{3}{\tan{{x}}}+{3}{x}\right)}$$
$$\displaystyle={\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({2}{\sec{{x}}}\right)}+{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({3}{\tan{{x}}}\right)}+{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({3}{x}\right)}$$
$$\displaystyle={2}{\sec{{x}}}{\tan{{x}}}+{3}{{\sec}^{{{2}}}{x}}+{3}$$