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)

f (x) = 7 - \frac{16}{x}, at x = 4

y = x^{2^{x}}

(x^{5} + 3 y) d x - x d y = 0

\int \frac{x ^{3}}{49 + x ^{8}} d x

\frac{d ^{2}}{d x ^{2}} (15 e^{x^{2}})

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)