Solve 2.03a+5.7+3.97a-4.95

$$2.03 a + 5.7 + 3.97 a - 4.95$$

Evaluate

$$6a+0.75$$

Solution Steps

Combine 2.03a and 3.97a to get 6a.

$$6a+5.7-4.95$$

Subtract 4.95 from 5.7 to get 0.75.

$$6a+0.75$$

Differentiate w.r.t. a

$$6$$

Steps Using Derivative Rule for Sum

Combine 2.03a and 3.97a to get 6a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a+5.7-4.95)$$

Subtract 4.95 from 5.7 to get 0.75.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a+0.75)$$

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}.

$$6a^{1-1}$$

Subtract 1 from 1.

$$6a^{0}$$

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

$$6\times 1$$

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

$$6$$