What is (\partial)/(\partial x)(x^{2.75}y^{2.5}) ?

The answer to (\partial)/(\partial x)(x^{2.75}y^{2.5}) is 2.75x^{1.75}y^{2.5}

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(\partial)/(\partial x)(x^{2.75}y^{2.5})

\frac{\partial}{\partial x} (x^{2.75} y^{2.5})

2.75 x^{1.75} y^{2.5}

Solution steps

\frac{\partial}{\partial x} (x^{2.75} y^{2.5})

Treat

y

as a constant

Take the constant out:

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

= y^{2.5} \frac{\partial}{\partial x} (x^{2.75})

Apply the Power Rule:

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

= y^{2.5} \cdot 2.75 x^{2.75 - 1}

Simplify

= 2.75 x^{1.75} y^{2.5}

6 cos (t)

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

\frac{d}{d x} (5 x + 11)

\int x^{2} + 6 x d x

\frac{d y}{d t} = y (1 0^{- 1} - 1 0^{- 7} y), y (0) = 4000

What is (\partial)/(\partial x)(x^{2.75}y^{2.5}) ?
The answer to (\partial)/(\partial x)(x^{2.75}y^{2.5}) is 2.75x^{1.75}y^{2.5}