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Popular >

derivative of 1/2 x^2+8x+9

Solution

derivative of

\frac{1}{2} x^{2} + 8 x + 9

Solution

x + 8

Solution steps

\frac{d}{d x} (\frac{1}{2} x^{2} + 8 x + 9)

Simplify

\frac{1}{2} x^{2} + 8 x + 9 : \frac{x ^{2}}{2} + 8 x + 9

= \frac{d}{d x} (\frac{x ^{2}}{2} + 8 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (9)

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

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (9) = 0

= x + 8 + 0

Simplify

= x + 8

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\frac{1}{s ^{2} + 4 s + 3}

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(- 2, - 2), (0, 0)

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x \to 4 lim (x 32 - x^{2})

(\partial)/(\partial x)(1/(x^2y^2))

\frac{\partial}{\partial x} (\frac{1}{x ^{2} y ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of 1/2 x^2+8x+9 ?
The derivative of 1/2 x^2+8x+9 is x+8
What is the first derivative of 1/2 x^2+8x+9 ?
The first derivative of 1/2 x^2+8x+9 is x+8