What is (\partial)/(\partial x)(5x-8y^3) ?

The answer to (\partial)/(\partial x)(5x-8y^3) is 5

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(\partial)/(\partial x)(5x-8y^3)

\frac{\partial}{\partial x} (5 x - 8 y^{3})

5

Solution steps

\frac{\partial}{\partial x} (5 x - 8 y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5 x) - \frac{\partial}{\partial x} (8 y^{3})

\frac{\partial}{\partial x} (5 x) = 5

\frac{\partial}{\partial x} (8 y^{3}) = 0

= 5 - 0

Simplify

= 5

5 x + 4

\frac{d ^{2}}{d x ^{2}} (x^{2} + 81)

\frac{d}{d x} (x^{3} e^{x})

\int \frac{1}{e ^{k x}} d x

y^{^{''}} + y = 0, y (0) = 0, y (π) = 0

What is (\partial)/(\partial x)(5x-8y^3) ?
The answer to (\partial)/(\partial x)(5x-8y^3) is 5