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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\frac{d}{d x} (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)

y = \frac{2}{x}, y = 8 x, y = \frac{1}{2} x

\frac{d}{d x} (\frac{3}{4 ( 2 x - 5 ) ^{8}})

x \to - \infty lim (\frac{x ^{2} + 8 x}{8 x + 1})

\int ln (x) e^{- x} d x

\int \frac{4 x ^{2} + 3}{( x - 5 ) ^{2}} d 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)