Final Answer
$10x\sec\left(5x^2+2\pi \right)^2$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\tan\left(5x^2+2\pi \right)\right)$
Specify the solving method
1
Simplifying
$\frac{d}{dx}\left(\tan\left(5x^2+2\pi \right)\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\tan\left(5x^2+2\pi \right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 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. The derivative of the constant function (2\pi ) is equal to zero.
Final Answer
$10x\sec\left(5x^2+2\pi \right)^2$