Solve -0.05+0.05div20*x

$$-0.05+0.05 \div 20 \times x$$

Evaluate

$$\frac{x}{400}-0.05$$

Solution Steps

Expand \frac{0.05}{20} by multiplying both numerator and the denominator by 100.

$$-0.05+\frac{5}{2000}x$$

Reduce the fraction \frac{5}{2000} to lowest terms by extracting and canceling out 5.

$$-0.05+\frac{1}{400}x$$

Differentiate w.r.t. x

$$0.0025$$

Steps Using Derivative Rule for Sum

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}.

$$0.0025x^{1-1}$$

Subtract 1 from 1.

$$0.0025x^{0}$$

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

$$0.0025\times 1$$

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

$$0.0025$$