What is (\partial)/(\partial x)(e^{xy}tan(y)) ?

The answer to (\partial)/(\partial x)(e^{xy}tan(y)) is tan(y)e^{xy}y

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(\partial)/(\partial x)(e^{xy}tan(y))

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

tan (y) e^{x y} y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= tan (y) e^{x y} y

h \to 0 lim (\frac{( 18 h + 1 - 1 )}{h})

\int \frac{9 x ^{2} + 16}{x ^{4}} d x

\int 2 x (x^{2} - 1) d x

d er i v a t i v e y = (\frac{x ^{2} + 3}{x ^{2} - 3})^{7}

x \to 2 lim (x^{2} + 5 x - 9)

What is (\partial)/(\partial x)(e^{xy}tan(y)) ?
The answer to (\partial)/(\partial x)(e^{xy}tan(y)) is tan(y)e^{xy}y