Final Answer
Step-by-step Solution
Specify the solving method
Simplifying
Learn how to solve product rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\tan\left(5x^2+2\pi \right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(tan(5x^2+2*pi)). Simplifying. 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)}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=5 and g=x^2.