What is (\partial)/(\partial x)(e^y-sin(x)) ?

The answer to (\partial)/(\partial x)(e^y-sin(x)) is -cos(x)

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(\partial)/(\partial x)(e^y-sin(x))

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

- cos (x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (e^{y}) = 0

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= 0 - cos (x)

Simplify

= - cos (x)

\int_{0}^{2 π} \int 1 d x d y

\frac{\partial}{\partial z} (z^{3})

x \to - 9 lim (5 x)

x \to 0 lim (\frac{- 1}{x ^{2}})

\frac{\partial}{\partial x} (4 x^{2} y + 2 x y^{2})

What is (\partial)/(\partial x)(e^y-sin(x)) ?
The answer to (\partial)/(\partial x)(e^y-sin(x)) is -cos(x)