What is (\partial)/(\partial x)(8x^2-16y^3) ?

The answer to (\partial)/(\partial x)(8x^2-16y^3) is 16x

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(\partial)/(\partial x)(8x^2-16y^3)

\frac{\partial}{\partial x} (8 x^{2} - 16 y^{3})

16 x

Solution steps

\frac{\partial}{\partial x} (8 x^{2} - 16 y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (8 x^{2}) - \frac{\partial}{\partial x} (16 y^{3})

\frac{\partial}{\partial x} (8 x^{2}) = 16 x

\frac{\partial}{\partial x} (16 y^{3}) = 0

= 16 x - 0

Simplify

= 16 x

What is (\partial)/(\partial x)(8x^2-16y^3) ?
The answer to (\partial)/(\partial x)(8x^2-16y^3) is 16x