Step-by-step Solution

Find the derivative of $2\tan\left(2x\right)$

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Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(2\tan\left(2x\right)\right)$

Solving method

Learn how to solve differential calculus problems step by step online.

$2\frac{d}{dx}\left(\tan\left(2x\right)\right)$

Unlock this full step-by-step solution!

Learn how to solve differential calculus problems step by step online. Find the derivative of 2tan(2x). The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function. 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 the linear function times a constant, is equal to the constant.

Final Answer

$4\sec\left(2x\right)^2$
$\frac{d}{dx}\left(2\tan\left(2x\right)\right)$

Main topic:

Differential Calculus

Related Formulas:

3. See formulas

Time to solve it:

~ 0.02 s