Solve 22p+5p-3p=

$$22 p + 5 p - 3 p =$$

Evaluate

$$24p$$

Solution Steps

Combine 22p and 5p to get 27p.

$$27p-3p$$

Combine 27p and -3p to get 24p.

$$24p$$

Differentiate w.r.t. p

$$24$$

Steps Using Definition of a Derivative

Combine 22p and 5p to get 27p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(27p-3p)$$

Combine 27p and -3p to get 24p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(24p)$$

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

$$24p^{1-1}$$

Subtract 1 from 1.

$$24p^{0}$$

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

$$24\times 1$$

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

$$24$$