What is (\partial)/(\partial x)(6x+y^3) ?

The answer to (\partial)/(\partial x)(6x+y^3) is 6

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(\partial)/(\partial x)(6x+y^3)

\frac{\partial}{\partial x} (6 x + y^{3})

6

Solution steps

\frac{\partial}{\partial x} (6 x + y^{3})

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} (y^{3})

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

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

= 6 + 0

Simplify

= 6

\frac{d}{d x} (x^{3} - 6 x^{2} + 12 x)

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

\int \frac{1}{( a ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

(x + 4) (x^{2} - 4)

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

What is (\partial)/(\partial x)(6x+y^3) ?
The answer to (\partial)/(\partial x)(6x+y^3) is 6