Solve 5a+3a-2a

$$5 a + 3 a - 2 a$$

Evaluate

$$6a$$

Solution Steps

Combine 5a and 3a to get 8a.

$$8a-2a$$

Combine 8a and -2a to get 6a.

$$6a$$

Differentiate w.r.t. a

$$6$$

Steps Using Definition of a Derivative

Combine 5a and 3a to get 8a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a-2a)$$

Combine 8a and -2a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a)$$

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

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

Subtract 1 from 1.

$$6a^{0}$$

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

$$6\times 1$$

For any term t, t\times 1=t and 1t=t.

$$6$$