Solve -2a^2-(-4a^2)

$$- 2 a ^ { 2 } - ( - 4 a ^ { 2 } )$$

Evaluate

$$2a^{2}$$

Solution Steps

The opposite of -4a^{2} is 4a^{2}.

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

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

$$2a^{2}$$

Differentiate w.r.t. a

$$4a$$

Steps Using Definition of a Derivative

The opposite of -4a^{2} is 4a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-2a^{2}+4a^{2})$$

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

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

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

$$2\times 2a^{2-1}$$

Multiply 2 times 2.

$$4a^{2-1}$$

Subtract 1 from 2.

$$4a^{1}$$

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

$$4a$$