Solve 120/133.5x

$$\frac{ 120 }{ 133.5 } x$$

Evaluate

$$\frac{80x}{89}$$

Solution Steps

Expand \frac{120}{133.5} by multiplying both numerator and the denominator by 10.

$$\frac{1200}{1335}x$$

Reduce the fraction \frac{1200}{1335} to lowest terms by extracting and canceling out 15.

$$\frac{80}{89}x$$

Differentiate w.r.t. x

$$\frac{80}{89} = 0.898876404494382$$

Steps Using Definition of a Derivative

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

$$\frac{80}{89}x^{1-1}$$

Subtract 1 from 1.

$$\frac{80}{89}x^{0}$$

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

$$\frac{80}{89}\times 1$$

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

$$\frac{80}{89}$$