Solve C(6,2)/3

$$C \frac { ( 6,2 ) } { 3 }$$

Evaluate

$$\frac{31C}{15}$$

Solution Steps

Expand \frac{6,2}{3} by multiplying both numerator and the denominator by 10.

$$C\times \frac{62}{30}$$

Reduce the fraction \frac{62}{30} to lowest terms by extracting and canceling out 2.

$$C\times \frac{31}{15}$$

Differentiate w.r.t. C

$$\frac{31}{15} = 2\frac{1}{15} = 2.066666666666667$$

Steps Using Definition of a Derivative

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

$$\frac{31}{15}C^{1-1}$$

Subtract 1 from 1.

$$\frac{31}{15}C^{0}$$

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

$$\frac{31}{15}\times 1$$

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

$$\frac{31}{15}$$