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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derivative of

\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}

f (x) = 5 + 4 x^{2} - 2 x^{3}, (2, 5)

\int \frac{1}{30 - x ^{2}} d x

\int cos^{5} (\frac{3 x}{2}) sin^{7} (\frac{3 x}{2}) d x

\int - 6 \cdot sin (2 x) + 3 \cdot cos (3 x) d 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