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

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

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

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

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derivative of

e^{s i n^{2} (x)}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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

\frac{d}{d x} (- 3 sin (2 x) - 6 cos (x))

\frac{d}{d x} (sin (25 x^{2} + 6 x + 4))

\frac{d}{d x} (\frac{8 x}{x ^{2} + 4})

\frac{d y}{d x} = \frac{1 + 2 y ^{2}}{y \cdot sin ( x )}

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