Solve P(4)=12C_{3}(0.29)

$$P ( 4 ) = 12 C _ { 3 } ( 0.29 )$$

Differentiate w.r.t. C_3

$$3.48$$

Steps Using Definition of a Derivative

Multiply 12 and 0.29 to get 3.48.

$$\frac{\mathrm{d}}{\mathrm{d}C_{3}}(3.48C_{3})$$

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

$$3.48C_{3}^{1-1}$$

Subtract 1 from 1.

$$3.48C_{3}^{0}$$

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

$$3.48\times 1$$

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

$$3.48$$

Evaluate

$$\frac{87C_{3}}{25}$$

Solution Steps

Multiply 12 and 0.29 to get 3.48.

$$3.48C_{3}$$