What is (\partial)/(\partial y)(4xy+3) ?

The answer to (\partial)/(\partial y)(4xy+3) is 4x

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(\partial)/(\partial y)(4xy+3)

\frac{\partial}{\partial y} (4 x y + 3)

4 x

Solution steps

\frac{\partial}{\partial y} (4 x y + 3)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (4 x y) + \frac{\partial}{\partial y} (3)

\frac{\partial}{\partial y} (4 x y) = 4 x

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

= 4 x + 0

Simplify

= 4 x

y = 12 x sin (x), (\frac{π}{2}, 6 π)

\int (e^{5 x} + 8 e^{- x}) d x

\int_{0}^{\frac{π}{2}} (cos (x))^{3} d x

y = \frac{3}{x}, (- 5, - \frac{3}{5})

y = x^{x}, (4, 16)

What is (\partial)/(\partial y)(4xy+3) ?
The answer to (\partial)/(\partial y)(4xy+3) is 4x