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

The answer to (\partial)/(\partial x)(x^5y^5) is 5x^4y^5

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(\partial)/(\partial x)(x^5y^5)

\frac{\partial}{\partial x} (x^{5} y^{5})

5 x^{4} y^{5}

Solution steps

\frac{\partial}{\partial x} (x^{5} y^{5})

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= y^{5} \cdot 5 x^{5 - 1}

Simplify

= 5 x^{4} y^{5}

\int \frac{v + 3}{v - 1} d v

\frac{d}{d x} (3 (5 - x)^{2})

\frac{\partial}{\partial z} (z^{2} cos (y x))

f (x) = (4 t - 1) (3 t - 6)^{- 1}

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

What is (\partial)/(\partial x)(x^5y^5) ?
The answer to (\partial)/(\partial x)(x^5y^5) is 5x^4y^5