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Popular >

derivative of-2x^2-1/2 x+10

Solution

\frac{d}{d x} (- 2 x^{2} - \frac{1}{2} x + 10)

Solution

- 4 x - \frac{1}{2}

Solution steps

\frac{d}{d x} (- 2 x^{2} - \frac{1}{2} x + 10)

Simplify

- 2 x^{2} - \frac{1}{2} x + 10 : - 2 x^{2} - \frac{x}{2} + 10

= \frac{d}{d x} (- 2 x^{2} - \frac{x}{2} + 10)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (\frac{x}{2}) + \frac{d}{d x} (10)

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

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

\frac{d}{d x} (10) = 0

= - 4 x - \frac{1}{2} + 0

Simplify

= - 4 x - \frac{1}{2}

Popular Examples

y^{^{'}} + (1 + \frac{1}{t}) y = 1

derivative of y=sqrt(6+5x)derivative of

y = 6 + 5 x

limit as x approaches 8 of x^2

x \to 8 lim (x^{2})

derivative of (cos(x)/(csc(x)))

\frac{d}{d x} (\frac{cos ( x )}{csc ( x )})

(\partial)/(\partial x)(8x^2+y^2)

\frac{\partial}{\partial x} (8 x^{2} + y^{2})

Frequently Asked Questions (FAQ)

What is the derivative of-2x^2-1/2 x+10 ?
The derivative of-2x^2-1/2 x+10 is -4x-1/2
What is the first derivative of-2x^2-1/2 x+10 ?
The first derivative of-2x^2-1/2 x+10 is -4x-1/2