What is (\partial)/(\partial x)(6x+6y^2) ?

The answer to (\partial)/(\partial x)(6x+6y^2) is 6

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(\partial)/(\partial x)(6x+6y^2)

\frac{\partial}{\partial x} (6 x + 6 y^{2})

6

Solution steps

\frac{\partial}{\partial x} (6 x + 6 y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x) + \frac{\partial}{\partial x} (6 y^{2})

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

\frac{\partial}{\partial x} (6 y^{2}) = 0

= 6 + 0

Simplify

= 6

\frac{d}{d x} (x f (x))

(\frac{d y}{d x}) = y + 2 x + 5 - 2

\int \frac{x + 5 x - 4}{15 x + 9} d x

5 y^{^{''}} + y^{^{'}} = - 4 x

\int \frac{5 x ^{4}}{1 + x ^{10}} d x

What is (\partial)/(\partial x)(6x+6y^2) ?
The answer to (\partial)/(\partial x)(6x+6y^2) is 6