Solve 5p^2-p^2

$$5 p ^ { 2 } - p ^ { 2 }$$

Differentiate w.r.t. p

$$8p$$

Steps Using Definition of a Derivative

Combine 5p^{2} and -p^{2} to get 4p^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}p}(4p^{2})$$

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

$$2\times 4p^{2-1}$$

Multiply 2 times 4.

$$8p^{2-1}$$

Subtract 1 from 2.

$$8p^{1}$$

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

$$8p$$

Evaluate

$$4p^{2}$$

Solution Steps

Combine 5p^{2} and -p^{2} to get 4p^{2}.

$$4p^{2}$$