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

The derivative of f(x)=(x^2)/2 is x

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

The first derivative of f(x)=(x^2)/2 is x

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derivative of

f (x) = \frac{x ^{2}}{2}

x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= x

d V = 6 d t

\frac{\partial}{\partial x} (\frac{2 x y ^{2}}{5 + x ^{2} y ^{2}})

\int 5 x (x^{2} + 1)^{3} d x

\int_{- 3}^{2} 6 - x - x^{2} d x

\frac{d}{d x} (2 x^{4} + 7 x + 5)

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