What is the derivative of (15x^6/(3x)) ?

The derivative of (15x^6/(3x)) is 25x^4

What is the first derivative of (15x^6/(3x)) ?

The first derivative of (15x^6/(3x)) is 25x^4

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\frac{d}{d x} (\frac{15 x ^{6}}{3 x})

25 x^{4}

Solution steps

\frac{d}{d x} (\frac{15 x ^{6}}{3 x})

Simplify

\frac{15 x ^{6}}{3 x} : 5 x^{5}

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 25 x^{4}

n = 0 \sum \infty \frac{1}{n ^{0.5}}

\int e^{5 x} cos (5 x) d x

\int x^{2} - 16 x d x

t^{2} + 6 t - 3

f (x) = 3 - 4 x^{2}, - 61, at x = 4

What is the derivative of (15x^6/(3x)) ?
The derivative of (15x^6/(3x)) is 25x^4
What is the first derivative of (15x^6/(3x)) ?
The first derivative of (15x^6/(3x)) is 25x^4