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

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

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(\partial)/(\partial x)(tan(xy))

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

sec^{2} (x y) y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= sec^{2} (x y) y

y = e^{t a n (x)}

x \to 0 lim (\frac{cos ( x )}{96})

\frac{d y}{d t} + 0.3 t y = 9 t

6 t - 3

\int_{1}^{1000} \frac{9}{x ^{3}} d x

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