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

The answer to (\partial)/(\partial x)(x+6y) is 1

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

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x) = 1

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

= 1 + 0

Simplify

= 1

\int 4 e^{7} d x

\int 6 x^{4} e^{- x} d x

f (x) = x^{3} + x^{2} + \frac{6}{x}, at x = 1

(- 4, 6), (10, - 1)

y^{^{'}} = \frac{( x ^{2} e ^{\frac{y}{x}} + y ^{2} )}{x y}

What is (\partial)/(\partial x)(x+6y) ?
The answer to (\partial)/(\partial x)(x+6y) is 1