Solve 3a+4*a-a

$$3 a + 4 \cdot a - a$$

Evaluate

$$6a$$

Solution Steps

Combine 3a and 4a to get 7a.

$$7a-a$$

Combine 7a and -a to get 6a.

$$6a$$

Differentiate w.r.t. a

$$6$$

Steps Using Definition of a Derivative

Combine 3a and 4a to get 7a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a-a)$$

Combine 7a and -a 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.

$$6$$