What is the derivative of e^{3sin^2(2x}) ?

The derivative of e^{3sin^2(2x}) is e^{3sin^2(2x)}*12sin(2x)cos(2x)

What is the first derivative of e^{3sin^2(2x}) ?

The first derivative of e^{3sin^2(2x}) is e^{3sin^2(2x)}*12sin(2x)cos(2x)

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\frac{d}{d x} (e^{3 s i n^{2} (2 x)})

e^{3 s i n^{2} (2 x)} \cdot 12 sin (2 x) cos (2 x)

Solution steps

\frac{d}{d x} (e^{3 s i n^{2} (2 x)})

Apply the chain rule:

e^{3 s i n^{2} (2 x)} \frac{d}{d x} (3 sin^{2} (2 x))

= e^{3 s i n^{2} (2 x)} \frac{d}{d x} (3 sin^{2} (2 x))

\frac{d}{d x} (3 sin^{2} (2 x)) = 12 sin (2 x) cos (2 x)

= e^{3 s i n^{2} (2 x)} \cdot 12 sin (2 x) cos (2 x)

\frac{\partial}{\partial x} (7 e^{x} ln (y))

\frac{d}{d x} (sec^{3} (5 x))

arctan (6 x)

f (x) = x^{3} + 2 x^{2} + 4

\frac{d}{d x} (18)

What is the derivative of e^{3sin^2(2x}) ?
The derivative of e^{3sin^2(2x}) is e^{3sin^2(2x)}*12sin(2x)cos(2x)
What is the first derivative of e^{3sin^2(2x}) ?
The first derivative of e^{3sin^2(2x}) is e^{3sin^2(2x)}*12sin(2x)cos(2x)