Question

# Find the derivatives of the given functions. f(x)=\tan x-\sin x

Derivatives
Find the derivatives of the given functions. $$\displaystyle{f{{\left({x}\right)}}}={\tan{{x}}}-{\sin{{x}}}$$

2021-05-13

$$\displaystyle{f{{\left({x}\right)}}}={\tan{{x}}}-{\sin{{x}}}$$
$$\displaystyle{f}'{\left({x}\right)}={\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({\tan{{x}}}-{\sin{{x}}}\right)}$$
$$=\frac{d}{dx}\tan x-\frac{d}{dx}\sin x$$, rule of dill....
$$\displaystyle={{\sec}^{{{2}}}-}{\cos{{x}}}$$