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}

\int (cos (2 x) e^{2 x}) d x

\int \frac{x + 2}{( x ^{2} + 2 x + 10 ) ^{\frac{5}{2}}} d x

f (x) = 5 x^{4}

\frac{e ^{x}}{x cos ( x )}

0 = 2 x + 1 - 2 y y^{^{'}}, y (- 2) = - 1

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