What is (\partial)/(\partial x)(10x^2y) ?

The answer to (\partial)/(\partial x)(10x^2y) is 20xy

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(\partial)/(\partial x)(10x^2y)

\frac{\partial}{\partial x} (10 x^{2} y)

20 x y

Solution steps

\frac{\partial}{\partial x} (10 x^{2} y)

Treat

y

as a constant

Take the constant out:

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

= 10 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 10 y \cdot 2 x^{2 - 1}

Simplify

= 20 x y

x \to 4 + lim (\frac{3}{( 4 - x ) ^{3}})

g (x) = 7 - 3 x

400 - 3 P + 4 T + 0.6 A

\frac{d y}{d x} = \frac{- x}{y}

x \to \frac{5}{4} lim (\frac{16 x ^{2} - 25}{4 x - 5})

What is (\partial)/(\partial x)(10x^2y) ?
The answer to (\partial)/(\partial x)(10x^2y) is 20xy