Solve 4a+5-a+2

$$4 a + 5 - a + 2$$

Evaluate

$$3a+7$$

Solution Steps

Combine 4a and -a to get 3a.

$$3a+5+2$$

Add 5 and 2 to get 7.

$$3a+7$$

Differentiate w.r.t. a

$$3$$

Steps Using Derivative Rule for Sum

Combine 4a and -a to get 3a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a+5+2)$$

Add 5 and 2 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a+7)$$

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}.

$$3a^{1-1}$$

Subtract 1 from 1.

$$3a^{0}$$

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

$$3\times 1$$

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

$$3$$