Solve 0,75+2,75x-13x-1,25

$$0,75 + 2,75 x - 13 x - 1,25$$

Evaluate

$$-\frac{41x}{4}-0,5$$

Solution Steps

Combine 2,75x and -13x to get -10,25x.

$$0,75-10,25x-1,25$$

Subtract 1,25 from 0,75 to get -0,5.

$$-0,5-10,25x$$

Differentiate w.r.t. x

$$-10,25$$

Steps Using Derivative Rule for Sum

Combine 2,75x and -13x to get -10,25x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0,75-10,25x-1,25)$$

Subtract 1,25 from 0,75 to get -0,5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0,5-10,25x)$$

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}.

$$-10,25x^{1-1}$$

Subtract 1 from 1.

$$-10,25x^{0}$$

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

$$-10,25$$