What is (\partial)/(\partial y)(x^2tan(y)) ?

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

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(\partial)/(\partial y)(x^2tan(y))

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

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

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

\int tan^{2} (x) sec^{4} (x) d x

\int (e^{- 2 x})^{2} d x

x \to 2 lim (2 x + 2)

\frac{\partial}{\partial x} (e^{2 z})

f (x) = 3 x^{2} - 4, at x = 2

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