Question

# Find the derivatives of the given functions. f(x)=\cos (2x+7)

Derivatives
Find the derivatives of the given functions. $$\displaystyle{f{{\left({x}\right)}}}={\cos{{\left({2}{x}+{7}\right)}}}$$

$$\displaystyle{f{{\left({x}\right)}}}={\cos{{\left({2}{x}+{7}\right)}}}$$
$$\displaystyle{f{{\left({x}\right)}}}=-{\sin{{\left({2}{x}+{7}\right)}}}\dot{{\lbrace}}{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({2}{x}+{7}\right)}$$, u=2x+7
$$\displaystyle=-{\sin{{\left({2}{x}+{7}\right)}}}\dot{{\lbrace}}{2}$$
$$\displaystyle=-{2}{\sin{{\left({2}{x}+{7}\right)}}}$$