Solution of \frac{d}{dx} \left( \sec^2(2x) \right)

4\sec^{3}\left(2x\right)\sin\left(2x\right)

Solve fracddx ( sec^2(2x) )

Evaluate

\frac{d}{d x} (sec^{2} (2 x))

Use the chain rule \frac{d}{d x} (f (g)) = \frac{d}{d g} (f (g)) \times \frac{d}{d x} (g) where the g = sec (2 x), to find the derivative

\frac{d}{d g} (g^{2}) \times \frac{d}{d x} (sec (2 x))

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

2 g \times \frac{d}{d x} (sec (2 x))

Calculate

More Steps

2 g \times 2 sin (2 x) sec^{2} (2 x)

Substitute back

2 sec (2 x) \times 2 sin (2 x) sec^{2} (2 x)

Multiply the terms

4 sec (2 x) sin (2 x) sec^{2} (2 x)

Solution

More Steps

4 sec^{3} (2 x) sin (2 x)