What is the derivative of (x^2/(25)) ?

The derivative of (x^2/(25)) is (2x)/(25)

What is the first derivative of (x^2/(25)) ?

The first derivative of (x^2/(25)) is (2x)/(25)

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\frac{d}{d x} (\frac{x ^{2}}{25})

\frac{2 x}{25}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{25})

Take the constant out:

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

= \frac{1}{25} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{25} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{25} \cdot 2 x^{2 - 1} : \frac{2 x}{25}

= \frac{2 x}{25}

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

\frac{\partial}{\partial x} (m sin (2 (m x + n y)))

\int_{2}^{e} \frac{1}{x ln ( x )} d x

f (x) = x (5 x^{5} - 1)

What is the derivative of (x^2/(25)) ?
The derivative of (x^2/(25)) is (2x)/(25)
What is the first derivative of (x^2/(25)) ?
The first derivative of (x^2/(25)) is (2x)/(25)