Solve 075+275x-13x-125

$$075 + 275 x - 13 x - 125$$

Evaluate

$$262x-125$$

Solution Steps

Multiply 0 and 75 to get 0.

$$0+275x-13x-125$$

Combine 275x and -13x to get 262x.

$$0+262x-125$$

Subtract 125 from 0 to get -125.

$$-125+262x$$

Differentiate w.r.t. x

$$262$$

Steps Using Derivative Rule for Sum

Multiply 0 and 75 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0+275x-13x-125)$$

Combine 275x and -13x to get 262x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0+262x-125)$$

Subtract 125 from 0 to get -125.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-125+262x)$$

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}.

$$262x^{1-1}$$

Subtract 1 from 1.

$$262x^{0}$$

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

$$262\times 1$$

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

$$262$$