Solve -4a^2+3a^2-2a^2

$$- 4 a ^ { 2 } + 3 a ^ { 2 } - 2 a ^ { 2 }$$

Evaluate

$$-3a^{2}$$

Solution Steps

Combine -4a^{2} and 3a^{2} to get -a^{2}.

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

Combine -a^{2} and -2a^{2} to get -3a^{2}.

$$-3a^{2}$$

Differentiate w.r.t. a

$$-6a$$

Steps Using Definition of a Derivative

Combine -4a^{2} and 3a^{2} to get -a^{2}.

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

Combine -a^{2} and -2a^{2} to get -3a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a^{2})$$

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

$$2\left(-3\right)a^{2-1}$$

Multiply 2 times -3.

$$-6a^{2-1}$$

Subtract 1 from 2.

$$-6a^{1}$$

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

$$-6a$$