Solve s=\sqrt (p^2 q^2 )

Evaluate

s = p^{2} q^{2}

Simplify the root

More Steps

s = ∣ pq ∣

Find the first partial derivative by treating the variable q as a constant and differentiating with respect to p

\frac{\partial s}{\partial p} = \frac{\partial}{\partial p} (∣ pq ∣)

Rewrite the expression

\frac{\partial s}{\partial p} = \frac{\partial}{\partial p} ((pq)^{2})

Use differentiation rules

\frac{\partial s}{\partial p} = \frac{1}{2} \times \frac{\frac{\partial}{\partial p} ( ( pq ) ^{2} )}{∣ pq ∣}

Find the derivative

More Steps

\frac{\partial s}{\partial p} = \frac{1}{2} \times \frac{2 p q ^{2}}{∣ pq ∣}

Solution

\frac{\partial s}{\partial p} = \frac{p q ^{2}}{∣ pq ∣}

Function