What is (\partial)/(\partial x)(cos(x^3)) ?

The answer to (\partial)/(\partial x)(cos(x^3)) is -sin(x^3)*3x^2

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(\partial)/(\partial x)(cos(x^3))

\frac{\partial}{\partial x} (cos (x^{3}))

- sin (x^{3}) \cdot 3 x^{2}

Solution steps

\frac{\partial}{\partial x} (cos (x^{3}))

Apply the chain rule:

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

= - sin (x^{3}) \frac{\partial}{\partial x} (x^{3})

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

= - sin (x^{3}) \cdot 3 x^{2}

\frac{d}{d x} (cos (x^{2}) \cdot 2 x)

\frac{\partial}{\partial x} (x e^{y} - 1)

x^{2} + y^{2} = 27

\int_{1}^{x} \frac{e ^{- 3 t}}{t} d t

3 x^{2}, (5, 75)

What is (\partial)/(\partial x)(cos(x^3)) ?
The answer to (\partial)/(\partial x)(cos(x^3)) is -sin(x^3)*3x^2