Solve pq/m*3m/p

$$\frac { p q } { m } \times \frac { 3 m } { p }$$

Evaluate

$$3q$$

Solution Steps

Multiply \frac{pq}{m} times \frac{3m}{p} by multiplying numerator times numerator and denominator times denominator.

$$\frac{pq\times 3m}{mp}$$

Cancel out mp in both numerator and denominator.

$$3q$$

Differentiate w.r.t. q

$$3$$

Steps Using Definition of a Derivative

Multiply \frac{pq}{m} times \frac{3m}{p} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{pq\times 3m}{mp})$$

Cancel out mp in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}q}(3q)$$

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

$$3q^{1-1}$$

Subtract 1 from 1.

$$3q^{0}$$

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

$$3\times 1$$

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

$$3$$