What is the derivative of U(x)=-0.04x^2+240x-10000 ?

The derivative of U(x)=-0.04x^2+240x-10000 is -0.08x+240

What is the first derivative of U(x)=-0.04x^2+240x-10000 ?

The first derivative of U(x)=-0.04x^2+240x-10000 is -0.08x+240

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derivative of

U (x) = - 0.04 x^{2} + 240 x - 10000

- 0.08 x + 240

Solution steps

\frac{d}{d x} (- 0.04 x^{2} + 240 x - 10000)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (0.04 x^{2}) + \frac{d}{d x} (240 x) - \frac{d}{d x} (10000)

\frac{d}{d x} (0.04 x^{2}) = 0.08 x

\frac{d}{d x} (240 x) = 240

\frac{d}{d x} (10000) = 0

= - 0.08 x + 240 - 0

Simplify

= - 0.08 x + 240

What is the derivative of U(x)=-0.04x^2+240x-10000 ?
The derivative of U(x)=-0.04x^2+240x-10000 is -0.08x+240
What is the first derivative of U(x)=-0.04x^2+240x-10000 ?
The first derivative of U(x)=-0.04x^2+240x-10000 is -0.08x+240