What is (\partial)/(\partial x)(100x^{0.66}y^{0.34}) ?

The answer to (\partial)/(\partial x)(100x^{0.66}y^{0.34}) is (66y^{0.34})/(x^{0.34)}

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(\partial)/(\partial x)(100x^{0.66}y^{0.34})

\frac{\partial}{\partial x} (100 x^{0.66} y^{0.34})

\frac{66 y ^{0.34}}{x ^{0.34}}

Solution steps

\frac{\partial}{\partial x} (100 x^{0.66} y^{0.34})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 100 y^{0.34} \frac{\partial}{\partial x} (x^{0.66})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 100 y^{0.34} \cdot 0.66 x^{0.66 - 1}

Simplify

100 y^{0.34} \cdot 0.66 x^{0.66 - 1} : \frac{66 y ^{0.34}}{x ^{0.34}}

= \frac{66 y ^{0.34}}{x ^{0.34}}

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

- 4 x^{3} + 3 x^{2} - 6 x + 10

y = x^{3} - 14 x^{2} + 32 x + 4

s \to 0 lim (\frac{- 2 s}{s - 3})

y = - x^{2} + 4, y = 1 - x

What is (\partial)/(\partial x)(100x^{0.66}y^{0.34}) ?
The answer to (\partial)/(\partial x)(100x^{0.66}y^{0.34}) is (66y^{0.34})/(x^{0.34)}