Solve 11p+5p-7p=

$$11 p + 5 p - 7 p =$$

Evaluate

$$9p$$

Solution Steps

Combine 11p and 5p to get 16p.

$$16p-7p$$

Combine 16p and -7p to get 9p.

$$9p$$

Differentiate w.r.t. p

$$9$$

Steps Using Definition of a Derivative

Combine 11p and 5p to get 16p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(16p-7p)$$

Combine 16p and -7p to get 9p.

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

The derivative of ax^{n} is nax^{n-1}.

$$9p^{1-1}$$

Subtract 1 from 1.

$$9p^{0}$$

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

$$9\times 1$$

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

$$9$$