Solve 1:15div5/7*P

$$1 : 15 \div \frac { 5 } { 7 } \cdot P$$

Evaluate

$$\frac{7P}{75}$$

Solution Steps

Divide \frac{1}{15} by \frac{5}{7} by multiplying \frac{1}{15} by the reciprocal of \frac{5}{7}.

$$\frac{1}{15}\times \frac{7}{5}P$$

Multiply \frac{1}{15} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{15\times 5}P$$

Do the multiplications in the fraction \frac{1\times 7}{15\times 5}.

$$\frac{7}{75}P$$

Differentiate w.r.t. P

$$\frac{7}{75} = 0.09333333333333334$$

Steps Using Definition of a Derivative

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

$$\frac{7}{75}P^{1-1}$$

Subtract 1 from 1.

$$\frac{7}{75}P^{0}$$

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

$$\frac{7}{75}\times 1$$

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

$$\frac{7}{75}$$