What is the derivative of 20x^4 ?

The derivative of 20x^4 is 80x^3

What is the first derivative of 20x^4 ?

The first derivative of 20x^4 is 80x^3

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\frac{d}{d x} (20 x^{4})

80 x^{3}

Solution steps

\frac{d}{d x} (20 x^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 20 \frac{d}{d x} (x^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 20 \cdot 4 x^{4 - 1}

Simplify

= 80 x^{3}

\int_{0}^{1} (x^{2}) d x

\frac{2}{2 s ^{2} + 1}

\frac{\partial}{\partial y} (y - 2 x - 2)

y = \frac{1}{x - 3}

\int \frac{( x ^{2} + 1 )}{( x - 9 ) ( x - 8 ) ^{2}} d x