What is the derivative of (x^6/(x^2)) ?

The derivative of (x^6/(x^2)) is 4x^3

What is the first derivative of (x^6/(x^2)) ?

The first derivative of (x^6/(x^2)) is 4x^3

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\frac{d}{d x} (\frac{x ^{6}}{x ^{2}})

4 x^{3}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{x ^{2}})

Simplify

\frac{x ^{6}}{x ^{2}} : x^{4}

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

Apply the Power Rule:

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

= 4 x^{4 - 1}

Simplify

= 4 x^{3}

\int \frac{x ^{2} - 9}{x} d x

y = \frac{1}{x ^{2} + 1}

f (x) = 9 t^{2} + t^{3}

\int 4 sin^{2} (x) cos (x) d x

\frac{d}{d x} ((ln (x))^{\frac{1}{x}})

What is the derivative of (x^6/(x^2)) ?
The derivative of (x^6/(x^2)) is 4x^3
What is the first derivative of (x^6/(x^2)) ?
The first derivative of (x^6/(x^2)) is 4x^3