Solve 3p^2-14p^2

$$3 p ^ { 2 } - 14 p ^ { 2 }$$

Differentiate w.r.t. p

$$-22p$$

Steps Using Definition of a Derivative

Combine 3p^{2} and -14p^{2} to get -11p^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}p}(-11p^{2})$$

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

$$2\left(-11\right)p^{2-1}$$

Multiply 2 times -11.

$$-22p^{2-1}$$

Subtract 1 from 2.

$$-22p^{1}$$

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

$$-22p$$

Evaluate

$$-11p^{2}$$

Solution Steps

Combine 3p^{2} and -14p^{2} to get -11p^{2}.

$$-11p^{2}$$