What is (\partial)/(\partial x)(sin(x^2+5)) ?

The answer to (\partial)/(\partial x)(sin(x^2+5)) is cos(x^2+5)*2x

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(\partial)/(\partial x)(sin(x^2+5))

\frac{\partial}{\partial x} (sin (x^{2} + 5))

cos (x^{2} + 5) \cdot 2 x

Solution steps

\frac{\partial}{\partial x} (sin (x^{2} + 5))

Apply the chain rule:

cos (x^{2} + 5) \frac{\partial}{\partial x} (x^{2} + 5)

= cos (x^{2} + 5) \frac{\partial}{\partial x} (x^{2} + 5)

\frac{\partial}{\partial x} (x^{2} + 5) = 2 x

= cos (x^{2} + 5) \cdot 2 x

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What is (\partial)/(\partial x)(sin(x^2+5)) ?
The answer to (\partial)/(\partial x)(sin(x^2+5)) is cos(x^2+5)*2x