Solve 200div7.5x

$$200 \div 7.5x$$

Evaluate

$$\frac{80x}{3}$$

Solution Steps

Expand \frac{200}{7.5} by multiplying both numerator and the denominator by 10.

$$\frac{2000}{75}x$$

Reduce the fraction \frac{2000}{75} to lowest terms by extracting and canceling out 25.

$$\frac{80}{3}x$$

Differentiate w.r.t. x

$$\frac{80}{3} = 26\frac{2}{3} = 26.666666666666668$$

Steps Using Definition of a Derivative

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

$$\frac{80}{3}x^{1-1}$$

Subtract 1 from 1.

$$\frac{80}{3}x^{0}$$

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

$$\frac{80}{3}\times 1$$

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

$$\frac{80}{3}$$