Solve 3p+5p-4p

$$3 p + 5 p - 4 p$$

Evaluate

$$4p$$

Solution Steps

Combine 3p and 5p to get 8p.

$$8p-4p$$

Combine 8p and -4p to get 4p.

$$4p$$

Differentiate w.r.t. p

$$4$$

Steps Using Definition of a Derivative

Combine 3p and 5p to get 8p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(8p-4p)$$

Combine 8p and -4p to get 4p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(4p)$$

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

$$4p^{1-1}$$

Subtract 1 from 1.

$$4p^{0}$$

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

$$4\times 1$$

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

$$4$$