What is the derivative of (1+x^3)^{2020} ?

The derivative of (1+x^3)^{2020} is 6060x^2(1+x^3)^{2019}

What is the first derivative of (1+x^3)^{2020} ?

The first derivative of (1+x^3)^{2020} is 6060x^2(1+x^3)^{2019}

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derivative of

(1 + x^{3})^{2020}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial x} (arctan (x y))

\frac{\partial}{\partial x} (5 z^{3} cot (x z))

f (x) = 15 3 x

8 sin^{3} (x)

\int_{0}^{π} (sec^{2} (\frac{x}{3})) d x

What is the derivative of (1+x^3)^{2020} ?
The derivative of (1+x^3)^{2020} is 6060x^2(1+x^3)^{2019}
What is the first derivative of (1+x^3)^{2020} ?
The first derivative of (1+x^3)^{2020} is 6060x^2(1+x^3)^{2019}