What is (\partial)/(\partial x)(y*cos(x)) ?

The answer to (\partial)/(\partial x)(y*cos(x)) is -ysin(x)

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(\partial)/(\partial x)(y*cos(x))

\frac{\partial}{\partial x} (y \cdot 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 (11 x^{10} - \frac{10}{x ^{10}}) d x

\frac{d}{d x} (3 x^{2} + 5 x - 1)

\frac{d}{d x} (\frac{5 x ^{2} - x + 1}{x ^{3} + 4 x ^{2}})

\int_{0}^{1} (x - x^{2}) d x

\frac{\partial}{\partial x} (x^{9} y^{9} + 5 x^{8} y)

What is (\partial)/(\partial x)(y*cos(x)) ?
The answer to (\partial)/(\partial x)(y*cos(x)) is -ysin(x)