Solve 8-3a+8a-7

$$8-3a+8a-7$$

Evaluate

$$5a+1$$

Solution Steps

Combine -3a and 8a to get 5a.

$$8+5a-7$$

Subtract 7 from 8 to get 1.

$$1+5a$$

Differentiate w.r.t. a

$$5$$

Steps Using Derivative Rule for Sum

Combine -3a and 8a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8+5a-7)$$

Subtract 7 from 8 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}a}(1+5a)$$

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.

$$5$$