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

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

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

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

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derivative of

f (x) = (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{d}{d x} (2 x^{2} + 3)

y = ln (x + 9)

\frac{d}{d x} (4 x^{3} y)

x, 5 x - x^{2}, 0, 4

\int_{- 1}^{1} y^{2} - 1 - (1 - y^{2}) d y

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