Solve -4p+(-2)+2p+3

$$- 4 p + ( - 2 ) + 2 p + 3$$

Evaluate

$$1-2p$$

Solution Steps

Combine -4p and 2p to get -2p.

$$-2p-2+3$$

Add -2 and 3 to get 1.

$$-2p+1$$

Differentiate w.r.t. p

$$-2$$

Steps Using Derivative Rule for Sum

Combine -4p and 2p to get -2p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(-2p-2+3)$$

Add -2 and 3 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}p}(-2p+1)$$

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}.

$$-2p^{1-1}$$

Subtract 1 from 1.

$$-2p^{0}$$

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

$$-2$$