Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
Learn how to solve problems step by step online.
$4\frac{d}{dx}\left(\sec\left(x\right)\tan\left(x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of 4sec(x)tan(x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sec\left(x\right) and g=\tan\left(x\right). The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. When multiplying exponents with same base you can add the exponents: \frac{d}{dx}\left(x\right)\sec\left(x\right)\sec\left(x\right)^2.