What is (\partial)/(\partial x)(4x+6y) ?

The answer to (\partial)/(\partial x)(4x+6y) is 4

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(\partial)/(\partial x)(4x+6y)

\frac{\partial}{\partial x} (4 x + 6 y)

4

Solution steps

\frac{\partial}{\partial x} (4 x + 6 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x) + \frac{\partial}{\partial x} (6 y)

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

\frac{\partial}{\partial x} (6 y) = 0

= 4 + 0

Simplify

= 4

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

\frac{d}{d x} (\frac{2}{2 - cos ( π x )})

\frac{\partial}{\partial x} (- x ln (x) + x ln (y) + y)

f (x) = x^{2} - 2 x, at x = - 3

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

What is (\partial)/(\partial x)(4x+6y) ?
The answer to (\partial)/(\partial x)(4x+6y) is 4