Solve -3a-(-4a)+(-2a)

$$- 3 a - ( - 4 a ) + ( - 2 a )$$

Evaluate

$$-a$$

Solution Steps

The opposite of -4a is 4a.

$$-3a+4a-2a$$

Combine -3a and 4a to get a.

$$a-2a$$

Combine a and -2a to get -a.

$$-a$$

Differentiate w.r.t. a

$$-1$$

Steps Using Definition of a Derivative

The opposite of -4a is 4a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a+4a-2a)$$

Combine -3a and 4a to get a.

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

Combine a and -2a to get -a.

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

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

$$-a^{1-1}$$

Subtract 1 from 1.

$$-a^{0}$$

For any term t except 0, t^{0}=1.

$$-1$$