Solve (8p-1)+(7p+2)

$$( 8 p - 1 ) + ( 7 p + 2 )$$

Evaluate

$$15p+1$$

Solution Steps

Combine 8p and 7p to get 15p.

$$15p-1+2$$

Add -1 and 2 to get 1.

$$15p+1$$

Differentiate w.r.t. p

$$15$$

Steps Using Derivative Rule for Sum

Combine 8p and 7p to get 15p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(15p-1+2)$$

Add -1 and 2 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}p}(15p+1)$$

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}.

$$15p^{1-1}$$

Subtract 1 from 1.

$$15p^{0}$$

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

$$15\times 1$$

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

$$15$$