What is (\partial)/(\partial x)(ycos(x)) ?

The answer to (\partial)/(\partial x)(ycos(x)) is -ysin(x)

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(\partial)/(\partial x)(ycos(x))

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

- y sin (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y (- sin (x))

Simplify

= - y sin (x)

\int_{5}^{e^{3}} \frac{1}{x} d x

y^{^{'}} = x e^{y}

\frac{\partial}{\partial y} (sin^{2} (y))

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

(- 4) (12.2)

What is (\partial)/(\partial x)(ycos(x)) ?
The answer to (\partial)/(\partial x)(ycos(x)) is -ysin(x)