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

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

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

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

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derivative of

f (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}

\int cos (2 x - 2) d x

\int \frac{x ^{4}}{9 - x ^{5}} d x

y^{^{'}} = e^{- x} y

y^{^{''}} - 3 y^{^{'}} - 10 y = - 3 x^{2} e^{- 6 x}

n = 0 \sum \infty (- \frac{2}{5})^{n}

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