Solve 4p+p/12

$$4 p + \frac { p } { 12 }$$

Differentiate w.r.t. p

$$\frac{49}{12} = 4\frac{1}{12} = 4.083333333333333$$

Steps Using Definition of a Derivative

Combine 4p and \frac{p}{12} to get \frac{49}{12}p.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{49}{12}p)$$

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

$$\frac{49}{12}p^{1-1}$$

Subtract 1 from 1.

$$\frac{49}{12}p^{0}$$

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

$$\frac{49}{12}\times 1$$

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

$$\frac{49}{12}$$

Evaluate

$$\frac{49p}{12}$$

Solution Steps

Combine 4p and \frac{p}{12} to get \frac{49}{12}p.

$$\frac{49}{12}p$$