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

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

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

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

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

x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

= x + 0

Simplify

= x

\frac{d}{d x} (5 x e^{5 x})

x \to - 3 lim (\frac{x}{x - 4})

\int 2 e^{x} - 1 d x

\int 4 x + 1 d x

x \to 0 lim (\frac{6 x ^{2}}{2 x ^{2}})

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