What is the derivative of (x^5/7) ?

The derivative of (x^5/7) is (5x^4)/7

What is the first derivative of (x^5/7) ?

The first derivative of (x^5/7) is (5x^4)/7

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\frac{d}{d x} (\frac{x ^{5}}{7})

\frac{5 x ^{4}}{7}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{7})

Take the constant out:

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

= \frac{1}{7} \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= \frac{1}{7} \cdot 5 x^{5 - 1}

Simplify

\frac{1}{7} \cdot 5 x^{5 - 1} : \frac{5 x ^{4}}{7}

= \frac{5 x ^{4}}{7}

\frac{d}{d x} (2 x ln (x) + x^{2} - 1)

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

\int \frac{2}{x} + 3 e^{x} d x

\int \frac{1}{x ( 2 + 3 u )} d x

y^{^{''}} - 2 y^{^{'}} + y = 0

What is the derivative of (x^5/7) ?
The derivative of (x^5/7) is (5x^4)/7
What is the first derivative of (x^5/7) ?
The first derivative of (x^5/7) is (5x^4)/7