What is the d/(dy)(xsin(y)+ycos(x)) ?

The d/(dy)(xsin(y)+ycos(x)) is xcos(y)+cos(x)

What is the first d/(dy)(xsin(y)+ycos(x)) ?

The first d/(dy)(xsin(y)+ycos(x)) is xcos(y)+cos(x)

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\frac{d}{d y} (x sin (y) + y cos (x))

x cos (y) + cos (x)

Solution steps

\frac{d}{d y} (x sin (y) + y cos (x))

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (x sin (y)) + \frac{d}{d y} (y cos (x))

\frac{d}{d y} (x sin (y)) = x cos (y)

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

= x cos (y) + cos (x)

\int_{0}^{1} x^{3} d x

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

x y - 2 y^{2} = 3

\frac{\partial}{\partial x} (6 y^{\frac{x}{z}})

sec (x) d y = x cot (y) d x

What is the d/(dy)(xsin(y)+ycos(x)) ?
The d/(dy)(xsin(y)+ycos(x)) is xcos(y)+cos(x)
What is the first d/(dy)(xsin(y)+ycos(x)) ?
The first d/(dy)(xsin(y)+ycos(x)) is xcos(y)+cos(x)