Solve 4a+6+a+3

$$4 a + 6 + a + 3$$

Evaluate

$$5a+9$$

Solution Steps

Combine 4a and a to get 5a.

$$5a+6+3$$

Add 6 and 3 to get 9.

$$5a+9$$

Differentiate w.r.t. a

$$5$$

Steps Using Derivative Rule for Sum

Combine 4a and a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a+6+3)$$

Add 6 and 3 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a+9)$$

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}.

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

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.

$$5$$