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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Popular >

\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))

Simplify

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

tan (x)

(1 + 4 x^{2}) (x - x^{2})

\frac{d}{d x} (A cos (x) + B sin (x))

\frac{d}{d x} (- \frac{2}{9 x ^{\frac{4}{3}}})

\int_{- 1}^{6} - x^{2} + 5 x + 6 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)