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

The derivative of ((x^2))/(10) is x/5

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

The first derivative of ((x^2))/(10) is x/5

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derivative of

\frac{( x ^{2} )}{10}

\frac{x}{5}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{10})

Take the constant out:

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

= \frac{1}{10} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{10} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{10} \cdot 2 x^{2 - 1} : \frac{x}{5}

= \frac{x}{5}

\frac{d}{d q} ((1 + sec (q)) sin (q))

\frac{d}{d t} (5 t^{4} + 4 t^{3} + 2 t^{2} + 5 + 4)

\frac{d}{d r} (\frac{g \cdot ( m _{1} \cdot m _{2} )}{( r ^{2} )})

5 x^{2} - 5 x + 3

\frac{d}{d a} (2 sin^{2} (a) cos^{2} (a))

What is the derivative of ((x^2))/(10) ?
The derivative of ((x^2))/(10) is x/5
What is the first derivative of ((x^2))/(10) ?
The first derivative of ((x^2))/(10) is x/5