Solve y= sinc x - ScanMath

Evaluate

y = sin (c) \times x

Multiply the terms

y = x sin (c)

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

\frac{\partial y}{\partial x} = \frac{\partial}{\partial x} (x sin (c))

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) sin (c) + x \times \frac{\partial}{\partial x} (sin (c))

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

\frac{\partial y}{\partial x} = 1 \times sin (c) + x \times \frac{\partial}{\partial x} (sin (c))

Evaluate

\frac{\partial y}{\partial x} = sin (c) + x \times \frac{\partial}{\partial x} (sin (c))

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

\frac{\partial y}{\partial x} = sin (c) + x \times 0

Evaluate

\frac{\partial y}{\partial x} = sin (c) + 0

Solution

\frac{\partial y}{\partial x} = sin (c)

Function