Solve 1+0,5x-3-1

$$1 + 0,5 x - 3 - 1$$

Evaluate

$$\frac{x}{2}-3$$

Solution Steps

Subtract 3 from 1 to get -2.

$$-2+0,5x-1$$

Subtract 1 from -2 to get -3.

$$-3+0,5x$$

Differentiate w.r.t. x

$$0,5$$

Steps Using Derivative Rule for Sum

Subtract 3 from 1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2+0,5x-1)$$

Subtract 1 from -2 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3+0,5x)$$

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}.

$$0,5x^{1-1}$$

Subtract 1 from 1.

$$0,5x^{0}$$

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

$$0,5\times 1$$

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

$$0,5$$