What is (\partial)/(\partial x)((1+x^3)^{2020}) ?

The answer to (\partial)/(\partial x)((1+x^3)^{2020}) is 6060x^2(1+x^3)^{2019}

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(\partial)/(\partial x)((1+x^3)^{2020})

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

6060 x^{2} (1 + x^{3})^{2019}

Solution steps

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

Apply the chain rule:

2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

= 2020 (1 + x^{3})^{2019} \frac{\partial}{\partial x} (1 + x^{3})

\frac{\partial}{\partial x} (1 + x^{3}) = 3 x^{2}

= 2020 (1 + x^{3})^{2019} \cdot 3 x^{2}

Simplify

= 6060 x^{2} (1 + x^{3})^{2019}

y^{3}

\frac{d}{d x} (- 2 x^{2} + 36 ln (x))

\int e^{s} d s

y^{^{'}} - 8 y^{2} cos (t) - 7 y^{2} sin (4 t) = 0

\int (\frac{e ^{x}}{1 + e ^{x}}) d x

What is (\partial)/(\partial x)((1+x^3)^{2020}) ?
The answer to (\partial)/(\partial x)((1+x^3)^{2020}) is 6060x^2(1+x^3)^{2019}