What is the d/(dy)(e^xcos(y)) ?

The d/(dy)(e^xcos(y)) is -e^xsin(y)

What is the first d/(dy)(e^xcos(y)) ?

The first d/(dy)(e^xcos(y)) is -e^xsin(y)

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Popular >

\frac{d}{d y} (e^{x} cos (y))

- e^{x} sin (y)

Solution steps

\frac{d}{d y} (e^{x} cos (y))

Treat

x

as a constant

Take the constant out:

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

= e^{x} \frac{d}{d y} (cos (y))

Apply the common derivative:

\frac{d}{d y} (cos (y)) = - sin (y)

= e^{x} (- sin (y))

Simplify

= - e^{x} sin (y)

\frac{\partial}{\partial x} (\frac{26}{( 2 + x ^{2} + y ^{2} )})

\int e^{x} \cdot 7 x d x

(u^{2} + u) d x + u^{2} (x d u + u d x) = 0

x \to 4 lim (e^{x} + 4 x)

\int 3 2 x d x