What is the derivative of f(x)=5x^4 ?

The derivative of f(x)=5x^4 is 20x^3

What is the first derivative of f(x)=5x^4 ?

The first derivative of f(x)=5x^4 is 20x^3

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derivative of

f (x) = 5 x^{4}

20 x^{3}

Solution steps

\frac{d}{d x} (5 x^{4})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 5 \cdot 4 x^{4 - 1}

Simplify

= 20 x^{3}

x \to 0 lim (\frac{2 + x}{2 - x})

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

\int \frac{tan ^{3} ( ln ( x ) )}{9 x} d x

\frac{d}{d x} (5 - 6 x)

\int_{1}^{5 e} \frac{1}{x} d x

What is the derivative of f(x)=5x^4 ?
The derivative of f(x)=5x^4 is 20x^3
What is the first derivative of f(x)=5x^4 ?
The first derivative of f(x)=5x^4 is 20x^3