What is (\partial)/(\partial x)(7tan(xy)) ?

The answer to (\partial)/(\partial x)(7tan(xy)) is 7sec^2(xy)y

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(\partial)/(\partial x)(7tan(xy))

\frac{\partial}{\partial x} (7 tan (x y))

7 sec^{2} (x y) y

Solution steps

\frac{\partial}{\partial x} (7 tan (x y))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{\partial}{\partial x} (tan (x y))

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

= 7 sec^{2} (x y) y

n \to \infty lim (1)

y = 5 x - x^{2}, y = 3 x^{2} + x

(2 y^{2} + 4 x^{2}) d x - x y d y = 0, y (1) = - 2

\frac{d}{d x} (x \cdot tan (x^{2}))

f (x) = x \cdot e^{- x}

What is (\partial)/(\partial x)(7tan(xy)) ?
The answer to (\partial)/(\partial x)(7tan(xy)) is 7sec^2(xy)y