What is the derivative of-4x^5 ?

The derivative of-4x^5 is -20x^4

What is the first derivative of-4x^5 ?

The first derivative of-4x^5 is -20x^4

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

- 20 x^{4}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= - 20 x^{4}

\frac{d}{d x} (\frac{x - 4}{7 x ^{2} e ^{x}})

x \to - 1.3 lim (e^{3 x + 4})

x \to \infty lim (a x)

\frac{\partial}{\partial z} (z - x^{2} + y^{2})

n = 3 \sum \infty \frac{1}{( n ( n - 1 ) )}