Solve xdiv20-x/10*400

$$x \div 20- \frac{ x }{ 10 } \times 400$$

Evaluate

$$-\frac{799x}{20}$$

Solution Steps

Cancel out 10, the greatest common factor in 400 and 10.

$$\frac{x}{20}-40x$$

Combine \frac{x}{20} and -40x to get -\frac{799}{20}x.

$$-\frac{799}{20}x$$

Differentiate w.r.t. x

$$-\frac{799}{20} = -39\frac{19}{20} = -39.95$$

Steps Using Definition of a Derivative

Cancel out 10, the greatest common factor in 400 and 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{20}-40x)$$

Combine \frac{x}{20} and -40x to get -\frac{799}{20}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{799}{20}x)$$

The derivative of ax^{n} is nax^{n-1}.

$$-\frac{799}{20}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{799}{20}x^{0}$$

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

$$-\frac{799}{20}$$