What is the derivative of x-1/2 x^2 ?

The derivative of x-1/2 x^2 is 1-x

What is the first derivative of x-1/2 x^2 ?

The first derivative of x-1/2 x^2 is 1-x

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

1 - x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d x}{d x} = 1

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

= 1 - x

\frac{d y}{d x} = sin (7 e^{x})

\int sec^{2} (θ) tan^{9} (θ) d θ

x \to 4 lim (4)

y^{^{''}} = 4 sin (7 x)

\int 2 ln (x) d x

What is the derivative of x-1/2 x^2 ?
The derivative of x-1/2 x^2 is 1-x
What is the first derivative of x-1/2 x^2 ?
The first derivative of x-1/2 x^2 is 1-x