What is (\partial)/(\partial y)(e^xtan(y)) ?

The answer to (\partial)/(\partial y)(e^xtan(y)) is e^xsec^2(y)

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(\partial)/(\partial y)(e^xtan(y))

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

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

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

\int 4 x^{- 1} - 4^{x} + 10 e^{2 x} - 8 x d x

\frac{d}{d x} ((x - 7)^{2})

\int x^{3} \cdot e^{- x^{2}} d x

x \to \infty lim (arctan (ln (x)))

\frac{d ^{3}}{d x ^{3}} (\frac{6}{x})

What is (\partial)/(\partial y)(e^xtan(y)) ?
The answer to (\partial)/(\partial y)(e^xtan(y)) is e^xsec^2(y)