Solve 1.2/5x

$$\frac{ 1.2 }{ 5 } x$$

Evaluate

$$\frac{6x}{25}$$

Solution Steps

Expand \frac{1.2}{5} by multiplying both numerator and the denominator by 10.

$$\frac{12}{50}x$$

Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.

$$\frac{6}{25}x$$

Differentiate w.r.t. x

$$0.24$$

Steps Using Definition of a Derivative

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

$$0.24x^{1-1}$$

Subtract 1 from 1.

$$0.24x^{0}$$

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

$$0.24\times 1$$

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

$$0.24$$