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

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

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

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

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\frac{d}{d x} (\frac{x ^{6}}{5})

\frac{6 x ^{5}}{5}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{5})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

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

Simplify

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

= \frac{6 x ^{5}}{5}

\frac{d}{d x} (\frac{y}{x + y})

f (x) = - \frac{1}{7} (x^{- 7} - x^{14})

x csc (x)

xx y^{^{'}} = y^{2} + 1

5 y^{^{''}} + 25 y^{^{'}} + 1700 y = 0

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