nick10
19

# what is the derivative of f(x)= 3cos^2 (x)

$\large\begin{array}{l} \textsf{Finding the derivative of}\\\\ \mathsf{f(x)=3\,cos^2\,x} \end{array}$ $\large\begin{array}{l} \textsf{You can differentiate it using the chain rule}\\\\ \mathsf{f'(x)=(3\,cos^2\,x)'}\\\\ \mathsf{f'(x)=3\,(cos^2\,x)'}\\\\ \mathsf{f'(x)=3\cdot 2\,(cos\,x)^{2-1}\cdot (cos\,x)'}\\\\ \mathsf{f'(x)=6\,(cos\,x)^1\cdot (-sin\,x)}\\\\ \boxed{\begin{array}{c}\mathsf{f'(x)=-6\,cos\,x\,sin\,x} \end{array}}\qquad\checkmark \end{array}$ If you're having problems understanding this answer, try seeing it through your browser: http://brainly.com/question/2141400 $\large\textsf{I hope it helps.}$ Tags: derivative trig function cosine cos power chain rule differential calculus