Solve y =n^2x 1 - ScanMath

Evaluate

y = n^{2} x \times 1

Multiply the terms

y = n^{2} x

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

\frac{\partial y}{\partial n} = \frac{\partial}{\partial n} (n^{2} x)

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

\frac{\partial y}{\partial n} = x \times \frac{\partial}{\partial n} (n^{2})

Use \frac{\partial}{\partial x} x^{n} = n x^{n - 1} to find derivative

\frac{\partial y}{\partial n} = x \times 2 n

Solution

\frac{\partial y}{\partial n} = 2 n x

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