What is (\partial)/(\partial x)(sin(4x-6y)) ?

The answer to (\partial)/(\partial x)(sin(4x-6y)) is cos(4x-6y)*4

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(\partial)/(\partial x)(sin(4x-6y))

\frac{\partial}{\partial x} (sin (4 x - 6 y))

cos (4 x - 6 y) \cdot 4

Solution steps

\frac{\partial}{\partial x} (sin (4 x - 6 y))

Treat

y

as a constant

Apply the chain rule:

cos (4 x - 6 y) \frac{\partial}{\partial x} (4 x - 6 y)

= cos (4 x - 6 y) \frac{\partial}{\partial x} (4 x - 6 y)

\frac{\partial}{\partial x} (4 x - 6 y) = 4

= cos (4 x - 6 y) \cdot 4

f (x) = 6 sin (2 x) - 3 cos (3 x)

y^{^{''}} - y = t e^{t}

\frac{\partial}{\partial x} (x^{2} + 1)

What is (\partial)/(\partial x)(sin(4x-6y)) ?
The answer to (\partial)/(\partial x)(sin(4x-6y)) is cos(4x-6y)*4