Solve 15div5/7*P

$$15 \div \frac { 5 } { 7 } \cdot P$$

Evaluate

$$21P$$

Solution Steps

Divide 15 by \frac{5}{7} by multiplying 15 by the reciprocal of \frac{5}{7}.

$$15\times \frac{7}{5}P$$

Express 15\times \frac{7}{5} as a single fraction.

$$\frac{15\times 7}{5}P$$

Multiply 15 and 7 to get 105.

$$\frac{105}{5}P$$

Divide 105 by 5 to get 21.

$$21P$$

Differentiate w.r.t. P

$$21$$

Steps Using Definition of a Derivative

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

$$21P^{1-1}$$

Subtract 1 from 1.

$$21P^{0}$$

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

$$21\times 1$$

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

$$21$$