What is (\partial)/(\partial y)(3x+2ysin(x)) ?

The answer to (\partial)/(\partial y)(3x+2ysin(x)) is 2sin(x)

Popular >

(\partial)/(\partial y)(3x+2ysin(x))

\frac{\partial}{\partial y} (3 x + 2 y sin (x))

2 sin (x)

Solution steps

\frac{\partial}{\partial y} (3 x + 2 y sin (x))

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (3 x) + \frac{\partial}{\partial y} (2 y sin (x))

\frac{\partial}{\partial y} (3 x) = 0

\frac{\partial}{\partial y} (2 y sin (x)) = 2 sin (x)

= 0 + 2 sin (x)

Simplify

= 2 sin (x)

x \to 20 lim (sin (70 - x))

f (x) = (2 x^{4} - 1) (5 x^{3} + 6 x)

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

x \to 5 lim (ln (x^{2} - 25))

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

What is (\partial)/(\partial y)(3x+2ysin(x)) ?
The answer to (\partial)/(\partial y)(3x+2ysin(x)) is 2sin(x)