What is the derivative of f(x)=(x^2)/2+2x+4 ?

The derivative of f(x)=(x^2)/2+2x+4 is x+2

What is the first derivative of f(x)=(x^2)/2+2x+4 ?

The first derivative of f(x)=(x^2)/2+2x+4 is x+2

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derivative of

f (x) = \frac{x ^{2}}{2} + 2 x + 4

x + 2

Solution steps

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

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} (4)

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

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

\frac{d}{d x} (4) = 0

= x + 2 + 0

Simplify

= x + 2

f^{^{'}} (x) = \frac{9}{2 9 x - 5}

\int \frac{1}{x ^{2} 25 - x ^{2}} d x

x \cdot (ln (x))^{2}

\int sin (x) + cos (y) d x

\int \frac{9 - x ^{2}}{( x ^{2} )} d x

What is the derivative of f(x)=(x^2)/2+2x+4 ?
The derivative of f(x)=(x^2)/2+2x+4 is x+2
What is the first derivative of f(x)=(x^2)/2+2x+4 ?
The first derivative of f(x)=(x^2)/2+2x+4 is x+2