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

The answer to (\partial)/(\partial x)(4x^5y) is 20x^4y

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(\partial)/(\partial x)(4x^5y)

\frac{\partial}{\partial x} (4 x^{5} y)

20 x^{4} y

Solution steps

\frac{\partial}{\partial x} (4 x^{5} y)

Treat

y

as a constant

Take the constant out:

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

= 4 y \frac{\partial}{\partial x} (x^{5})

Apply the Power Rule:

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

= 4 y \cdot 5 x^{5 - 1}

Simplify

= 20 x^{4} y

\frac{\partial}{\partial x} (\frac{x ^{2} - 1}{x ^{2} + x + 1})

\int 2^{r} d r

f (x) = 3 + x

x^{2} \cdot sec (\frac{1}{x})

\int_{1}^{3} (4 x^{3} + 2) d x

What is (\partial)/(\partial x)(4x^5y) ?
The answer to (\partial)/(\partial x)(4x^5y) is 20x^4y