Solve y=x p \sqrt (1 p^2)

Evaluate

y = x p 1 \times p^{2}

Simplify

More Steps

y = x p ∣ p ∣

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

\frac{\partial y}{\partial x} = \frac{\partial}{\partial x} (x p ∣ p ∣)

Use differentiation rule \frac{\partial}{\partial x} (f (x) \times g (x)) = \frac{\partial}{\partial x} (f (x)) \times g (x) + f (x) \times \frac{\partial}{\partial x} (g (x))

\frac{\partial y}{\partial x} = \frac{\partial}{\partial x} (x p) ∣ p ∣ + x p \times \frac{\partial}{\partial x} (∣ p ∣)

Evaluate

More Steps

\frac{\partial y}{\partial x} = p ∣ p ∣ + x p \times \frac{\partial}{\partial x} (∣ p ∣)

Use \frac{\partial}{\partial x} (c) = 0 to find derivative

\frac{\partial y}{\partial x} = p ∣ p ∣ + x p \times 0

Evaluate

\frac{\partial y}{\partial x} = p ∣ p ∣ + 0

Solution

\frac{\partial y}{\partial x} = p ∣ p ∣

Function