What is (\partial)/(\partial x)(sin(5x-2y)) ?

The answer to (\partial)/(\partial x)(sin(5x-2y)) is cos(5x-2y)*5

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(\partial)/(\partial x)(sin(5x-2y))

\frac{\partial}{\partial x} (sin (5 x - 2 y))

cos (5 x - 2 y) \cdot 5

Solution steps

\frac{\partial}{\partial x} (sin (5 x - 2 y))

Treat

y

as a constant

Apply the chain rule:

cos (5 x - 2 y) \frac{\partial}{\partial x} (5 x - 2 y)

= cos (5 x - 2 y) \frac{\partial}{\partial x} (5 x - 2 y)

\frac{\partial}{\partial x} (5 x - 2 y) = 5

= cos (5 x - 2 y) \cdot 5

\frac{\partial}{\partial x} (2 y e^{4 x^{2} - 6 y})

f (x) = - x

x \to \infty lim (- 3, x)

\frac{d}{d x} ((x + 1)^{2} e^{x})

What is (\partial)/(\partial x)(sin(5x-2y)) ?
The answer to (\partial)/(\partial x)(sin(5x-2y)) is cos(5x-2y)*5