What is the derivative of 390-2p-0.1p^2 ?

The derivative of 390-2p-0.1p^2 is -0.2p-2

What is the first derivative of 390-2p-0.1p^2 ?

The first derivative of 390-2p-0.1p^2 is -0.2p-2

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derivative of

390 - 2 p - 0.1 p^{2}

- 0.2 p - 2

Solution steps

\frac{d}{d p} (390 - 2 p - 0.1 p^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d p} (390) - \frac{d}{d p} (2 p) - \frac{d}{d p} (0.1 p^{2})

\frac{d}{d p} (390) = 0

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

\frac{d}{d p} (0.1 p^{2}) = 0.2 p

= 0 - 2 - 0.2 p

Simplify

= - 0.2 p - 2

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What is the derivative of 390-2p-0.1p^2 ?
The derivative of 390-2p-0.1p^2 is -0.2p-2
What is the first derivative of 390-2p-0.1p^2 ?
The first derivative of 390-2p-0.1p^2 is -0.2p-2