Solve 6+a^2+5adiva+2

$$6 + a ^ { 2 } + 5 a \div a + 2$$

Evaluate

$$a^{2}+13$$

Solution Steps

Cancel out a in both numerator and denominator.

$$6+a^{2}+5+2$$

Add 6 and 5 to get 11.

$$11+a^{2}+2$$

Add 11 and 2 to get 13.

$$13+a^{2}$$

Differentiate w.r.t. a

$$2a$$

Steps Using Derivative Rule for Sum

Cancel out a in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6+a^{2}+5+2)$$

Add 6 and 5 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}a}(11+a^{2}+2)$$

Add 11 and 2 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}a}(13+a^{2})$$

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}.

$$2a^{2-1}$$

Subtract 1 from 2.

$$2a^{1}$$

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

$$2a$$