Calc2.7

From Exampleproblems

Find the derivative of $f(x)\,$ with respect to $x\,$ : $f(x)=6e^{3x}\tan(5x)\,$

Taking the derivative of this function involves the product rule. Also, remember for the seperate functions, $e^{3x}\,$ and $\tan (5x)\,$ , we must use the chain rule.

$f'(x)=6[3e^{3x}\tan (5x)+5e^{3x}\sec^2 (5x)]=18e^{3x}\tan (5x)+30e^{3x}\sec^2 (5x)\,$