Solve (1a-2)-3+(8+75)

$$( 1 a - 2 ) - 3 + ( 8 + 75 )$$

Evaluate

$$a+78$$

Solution Steps

Subtract 3 from -2 to get -5.

$$1a-5+8+75$$

Add -5 and 8 to get 3.

$$1a+3+75$$

Add 3 and 75 to get 78.

$$1a+78$$

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

$$a+78$$

Differentiate w.r.t. a

$$1$$

Steps Using Derivative Rule for Sum

Subtract 3 from -2 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}a}(1a-5+8+75)$$

Add -5 and 8 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(1a+3+75)$$

Add 3 and 75 to get 78.

$$\frac{\mathrm{d}}{\mathrm{d}a}(1a+78)$$

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}.

$$a^{1-1}$$

Subtract 1 from 1.

$$a^{0}$$

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

$$1$$