Solve 288x-10-2142-211x-1612

$$288 x - 10 - 2142 - 211 x - 1612$$

Evaluate

$$77x-3764$$

Solution Steps

Subtract 2142 from -10 to get -2152.

$$288x-2152-211x-1612$$

Combine 288x and -211x to get 77x.

$$77x-2152-1612$$

Subtract 1612 from -2152 to get -3764.

$$77x-3764$$

Differentiate w.r.t. x

$$77$$

Steps Using Derivative Rule for Sum

Subtract 2142 from -10 to get -2152.

$$\frac{\mathrm{d}}{\mathrm{d}x}(288x-2152-211x-1612)$$

Combine 288x and -211x to get 77x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(77x-2152-1612)$$

Subtract 1612 from -2152 to get -3764.

$$\frac{\mathrm{d}}{\mathrm{d}x}(77x-3764)$$

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}.

$$77x^{1-1}$$

Subtract 1 from 1.

$$77x^{0}$$

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

$$77\times 1$$

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

$$77$$