Solve 8a^2+18a^2-5

$$8 a ^ { 2 } + 18 a ^ { 2 } - 5$$

Differentiate w.r.t. a

$$52a$$

Steps Using Derivative Rule for Sum

Combine 8a^{2} and 18a^{2} to get 26a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(26a^{2}-5)$$

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}.

$$2\times 26a^{2-1}$$

Multiply 2 times 26.

$$52a^{2-1}$$

Subtract 1 from 2.

$$52a^{1}$$

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

$$52a$$

Evaluate

$$26a^{2}-5$$

Solution Steps

Combine 8a^{2} and 18a^{2} to get 26a^{2}.

$$26a^{2}-5$$