What is the derivative of-(x^2/2+5x+3) ?

The derivative of-(x^2/2+5x+3) is -x+5

What is the first derivative of-(x^2/2+5x+3) ?

The first derivative of-(x^2/2+5x+3) is -x+5

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\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 x + 3)

- x + 5

Solution steps

\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 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} (5 x) + \frac{d}{d x} (3)

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

\frac{d}{d x} (5 x) = 5

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

= - x + 5 + 0

Simplify

= - x + 5

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

\int_{0}^{x} e^{- t} d t

\frac{d}{d x} ((x - x^{3})^{x})

x \to - \infty lim (- e^{- x})

\int 12 sin^{2} (t) cos (t) d t

What is the derivative of-(x^2/2+5x+3) ?
The derivative of-(x^2/2+5x+3) is -x+5
What is the first derivative of-(x^2/2+5x+3) ?
The first derivative of-(x^2/2+5x+3) is -x+5