Solve 2x.75-8.5div2=

$$2 x .75 - 8.5 \div 2 =$$

Evaluate

$$\frac{3x}{2}-4.25$$

Solution Steps

Multiply 2 and 0.75 to get 1.5.

$$1.5x-\frac{8.5}{2}$$

Expand \frac{8.5}{2} by multiplying both numerator and the denominator by 10.

$$1.5x-\frac{85}{20}$$

Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.

$$1.5x-\frac{17}{4}$$

Differentiate w.r.t. x

$$1.5$$

Steps Using Derivative Rule for Sum

Multiply 2 and 0.75 to get 1.5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.5x-\frac{8.5}{2})$$

Expand \frac{8.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.5x-\frac{85}{20})$$

Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1.5x-\frac{17}{4})$$

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}.

$$1.5x^{1-1}$$

Subtract 1 from 1.

$$1.5x^{0}$$

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

$$1.5\times 1$$

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

$$1.5$$