What is (\partial)/(\partial x)(sin(5x-8y)) ?

The answer to (\partial)/(\partial x)(sin(5x-8y)) is cos(5x-8y)*5

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(\partial)/(\partial x)(sin(5x-8y))

\frac{\partial}{\partial x} (sin (5 x - 8 y))

cos (5 x - 8 y) \cdot 5

Solution steps

\frac{\partial}{\partial x} (sin (5 x - 8 y))

Treat

y

as a constant

Apply the chain rule:

cos (5 x - 8 y) \frac{\partial}{\partial x} (5 x - 8 y)

= cos (5 x - 8 y) \frac{\partial}{\partial x} (5 x - 8 y)

\frac{\partial}{\partial x} (5 x - 8 y) = 5

= cos (5 x - 8 y) \cdot 5

e^{x}, e^{- 3 x}, x = ln (3)

\int \frac{9 x + 6}{( x - 6 ) ( x + 4 )} d x

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

y = ln (x^{2} + 4)

x \to 6 lim (x)

What is (\partial)/(\partial x)(sin(5x-8y)) ?
The answer to (\partial)/(\partial x)(sin(5x-8y)) is cos(5x-8y)*5