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)

x y^{^{'}} = (1 - 4 x^{2}) tan (y)

\int \frac{2 e ^{x}}{e ^{2 x} + 10 e ^{x} + 25} d x

\int \frac{x ^{3}}{( x - 1 ) ^{4}} d x

\int_{2}^{\infty} y e^{- 9 y} d y

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 2 x)^{6})

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