Solve s=(n-2)*x180

Evaluate

s = (n - 2) x \times 180

Multiply the terms

More Steps

s = 180 x (n - 2)

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

\frac{\partial s}{\partial x} = \frac{\partial}{\partial x} (180 x (n - 2))

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 s}{\partial x} = \frac{\partial}{\partial x} (180) x (n - 2) + 180 \times \frac{\partial}{\partial x} (x) (n - 2) + 180 x \times \frac{\partial}{\partial x} (n - 2)

Evaluate

\frac{\partial s}{\partial x} = 0 \times x (n - 2) + 180 \times \frac{\partial}{\partial x} (x) (n - 2) + 180 x \times \frac{\partial}{\partial x} (n - 2)

Evaluate

\frac{\partial s}{\partial x} = 0 + 180 \times \frac{\partial}{\partial x} (x) (n - 2) + 180 x \times \frac{\partial}{\partial x} (n - 2)

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

\frac{\partial s}{\partial x} = 0 + 180 \times 1 \times (n - 2) + 180 x \times \frac{\partial}{\partial x} (n - 2)

Evaluate

\frac{\partial s}{\partial x} = 0 + 180 n - 360 + 180 x \times \frac{\partial}{\partial x} (n - 2)

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

\frac{\partial s}{\partial x} = 0 + 180 n - 360 + 180 x \times 0

Evaluate

\frac{\partial s}{\partial x} = 0 + 180 n - 360 + 0

Solution

\frac{\partial s}{\partial x} = 180 n - 360

Function