Solve 3p+5p-9p=

$$3 p + 5 p - 9 p =$$

Evaluate

$$-p$$

Solution Steps

Combine 3p and 5p to get 8p.

$$8p-9p$$

Combine 8p and -9p to get -p.

$$-p$$

Differentiate w.r.t. p

$$-1$$

Steps Using Definition of a Derivative

Combine 3p and 5p to get 8p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(8p-9p)$$

Combine 8p and -9p to get -p.

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

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

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

Subtract 1 from 1.

$$-p^{0}$$

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

$$-1$$