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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int (\frac{2}{x ^{3}}) d x

f (x) = 4 x - 4 x

\frac{\partial}{\partial x} (cos (- x))

\frac{d}{d x} (14 - x)

\int \frac{1}{( x + 3 ) x ^{2} + 6 x - 7} d x

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