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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

x \to + 1 + lim (2 x - 2 - 2)

\int \frac{1}{x - 7} d x

\int \frac{6 x - 5}{3 x ^{2} + 5} d x

y^{^{'}} = \frac{x ^{2} y ^{4} + 2 x ^{2}}{y ^{3}}

\int \frac{1 + e ^{2 x}}{e ^{x}} d x

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