Solve 3p+1-p-4

$$3 p + 1 - p - 4$$

Evaluate

$$2p-3$$

Solution Steps

Combine 3p and -p to get 2p.

$$2p+1-4$$

Subtract 4 from 1 to get -3.

$$2p-3$$

Differentiate w.r.t. p

$$2$$

Steps Using Derivative Rule for Sum

Combine 3p and -p to get 2p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(2p+1-4)$$

Subtract 4 from 1 to get -3.

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

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.

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$