What is the derivative of (x^2/(20)) ?

The derivative of (x^2/(20)) is x/(10)

What is the first derivative of (x^2/(20)) ?

The first derivative of (x^2/(20)) is x/(10)

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\frac{d}{d x} (\frac{x ^{2}}{20})

\frac{x}{10}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{20})

Take the constant out:

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

= \frac{1}{20} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{20} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{20} \cdot 2 x^{2 - 1} : \frac{x}{10}

= \frac{x}{10}

\frac{d}{d x} (3 x - 4 x)

\int_{1}^{2} \frac{x}{1 + 4 x ^{2}} d x

(- \frac{3}{7}, 0), (0, 6)

\int_{0}^{5} e^{x} d x

x \to 4 lim (3 x^{5} - 4)

What is the derivative of (x^2/(20)) ?
The derivative of (x^2/(20)) is x/(10)
What is the first derivative of (x^2/(20)) ?
The first derivative of (x^2/(20)) is x/(10)