Solve a^2-8a^2

$$a ^ { 2 } - 8 a ^ { 2 }$$

Differentiate w.r.t. a

$$-14a$$

Steps Using Definition of a Derivative

Combine a^{2} and -8a^{2} to get -7a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-7a^{2})$$

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

$$2\left(-7\right)a^{2-1}$$

Multiply 2 times -7.

$$-14a^{2-1}$$

Subtract 1 from 2.

$$-14a^{1}$$

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

$$-14a$$

Evaluate

$$-7a^{2}$$

Solution Steps

Combine a^{2} and -8a^{2} to get -7a^{2}.

$$-7a^{2}$$