Solve -5a+11a-9a+a=?

$$- 5 a + 11 a - 9 a + a = ?$$

Evaluate

$$-2a$$

Solution Steps

Combine -5a and 11a to get 6a.

$$6a-9a+a$$

Combine 6a and -9a to get -3a.

$$-3a+a$$

Combine -3a and a to get -2a.

$$-2a$$

Differentiate w.r.t. a

$$-2$$

Steps Using Definition of a Derivative

Combine -5a and 11a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a-9a+a)$$

Combine 6a and -9a to get -3a.

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

Combine -3a and a to get -2a.

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

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

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

Subtract 1 from 1.

$$-2a^{0}$$

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

$$-2$$