Solve 15a+5+3a

$$15 a + 5 + 3 a$$

Differentiate w.r.t. a

$$18$$

Steps Using Derivative Rule for Sum

Combine 15a and 3a to get 18a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(18a+5)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$18a^{1-1}$$

Subtract 1 from 1.

$$18a^{0}$$

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

$$18\times 1$$

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

$$18$$

Evaluate

$$18a+5$$

Solution Steps

Combine 15a and 3a to get 18a.

$$18a+5$$