What is (\partial)/(\partial x)(e^{sin^2(x)}) ?

The answer to (\partial)/(\partial x)(e^{sin^2(x)}) is e^{sin^2(x)}sin(2x)

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(\partial)/(\partial x)(e^{sin^2(x)})

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{0}^{1} 3^{3 x} d x

\frac{1}{y ^{2}} - \frac{5}{y ^{4}} (y + 9 y^{3})

\frac{\partial}{\partial x} (sin (x y^{3}))

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

8 (t + 1) \frac{d y}{d t} - 6 y = 12 t

What is (\partial)/(\partial x)(e^{sin^2(x)}) ?
The answer to (\partial)/(\partial x)(e^{sin^2(x)}) is e^{sin^2(x)}sin(2x)