Solve 2a+4a-a

$$2 a + 4 a - a$$

Evaluate

$$5a$$

Solution Steps

Combine 2a and 4a to get 6a.

$$6a-a$$

Combine 6a and -a to get 5a.

$$5a$$

Differentiate w.r.t. a

$$5$$

Steps Using Definition of a Derivative

Combine 2a and 4a to get 6a.

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

Combine 6a and -a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a)$$

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

$$5a^{1-1}$$

Subtract 1 from 1.

$$5a^{0}$$

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

$$5\times 1$$

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

$$5$$