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

The derivative of (x^6)/6 is x^5

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

The first derivative of (x^6)/6 is x^5

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derivative of

\frac{x ^{6}}{6}

x^{5}

Solution steps

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

Take the constant out:

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

= \frac{1}{6} \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= \frac{1}{6} \cdot 6 x^{6 - 1}

Simplify

\frac{1}{6} \cdot 6 x^{6 - 1} : x^{5}

= x^{5}

\int 7 e^{x} d x

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

\frac{1}{s ^{2} + 6 s + 8}

\frac{d}{d x} (\frac{2 - x ^{2}}{( 2 + x ^{2} ) ^{2}})

- x^{2} + 4 x, x^{2} - 2 x

What is the derivative of (x^6)/6 ?
The derivative of (x^6)/6 is x^5
What is the first derivative of (x^6)/6 ?
The first derivative of (x^6)/6 is x^5