What is (\partial)/(\partial y)(tan(xy)) ?

The answer to (\partial)/(\partial y)(tan(xy)) is sec^2(xy)x

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(\partial)/(\partial y)(tan(xy))

\frac{\partial}{\partial y} (tan (x y))

sec^{2} (x y) x

Solution steps

\frac{\partial}{\partial y} (tan (x y))

Treat

x

as a constant

Apply the chain rule:

sec^{2} (x y) \frac{\partial}{\partial y} (x y)

= sec^{2} (x y) \frac{\partial}{\partial y} (x y)

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

= sec^{2} (x y) x

\int (2 t i + j + k) d t

x \to 0 lim (\frac{\frac{4}{2 + x} - 2}{x})

\int 5 sin (3 x) d x

y = lo g_{3} (5 x^{4})

2 x^{2} + y^{2} - 7 = 0

What is (\partial)/(\partial y)(tan(xy)) ?
The answer to (\partial)/(\partial y)(tan(xy)) is sec^2(xy)x