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}

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{5 x}

\frac{d}{d x} (cos (x) + sin (x))

(9, - 5), (6, 4)

f (x) = \frac{1 + 3 x ^{\frac{1}{2}}}{5 + x ^{\frac{3}{2}}}

y = 7 x + 4