Solve 5+-2p+4+-9p

$$5 + - 2 p + 4 + - 9 p$$

Evaluate

$$9-11p$$

Solution Steps

Add 5 and 4 to get 9.

$$9-2p-9p$$

Combine -2p and -9p to get -11p.

$$9-11p$$

Differentiate w.r.t. p

$$-11$$

Steps Using Derivative Rule for Sum

Add 5 and 4 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}p}(9-2p-9p)$$

Combine -2p and -9p to get -11p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(9-11p)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-11p^{1-1}$$

Subtract 1 from 1.

$$-11p^{0}$$

For any term t except 0, t^{0}=1.

$$-11$$