What is the derivative of y= 1/2 x^2+2x+3 ?

The derivative of y= 1/2 x^2+2x+3 is x+2

What is the first derivative of y= 1/2 x^2+2x+3 ?

The first derivative of y= 1/2 x^2+2x+3 is x+2

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derivative of

y = \frac{1}{2} x^{2} + 2 x + 3

x + 2

Solution steps

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

Simplify

\frac{1}{2} x^{2} + 2 x + 3 : \frac{x ^{2}}{2} + 2 x + 3

= \frac{d}{d x} (\frac{x ^{2}}{2} + 2 x + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (3)

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

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

\frac{d}{d x} (3) = 0

= x + 2 + 0

Simplify

= x + 2

\frac{x - 15}{x - 15}

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

\int_{2}^{8} x^{3} ln (2 x) d x

\frac{d}{d x} (\frac{2}{5} \cdot ln (x))

(3 + 3 y + 3 y^{2}) d x + (x + 2 x y) d y = 0

What is the derivative of y= 1/2 x^2+2x+3 ?
The derivative of y= 1/2 x^2+2x+3 is x+2
What is the first derivative of y= 1/2 x^2+2x+3 ?
The first derivative of y= 1/2 x^2+2x+3 is x+2