What is (\partial)/(\partial x)(In(3x^2y)) ?

The answer to (\partial)/(\partial x)(In(3x^2y)) is 6nIxy

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(\partial)/(\partial x)(In(3x^2y))

\frac{\partial}{\partial x} (I n (3 x^{2} y))

6 n I x y

Solution steps

\frac{\partial}{\partial x} (I n (3 x^{2} y))

Treat

n, I, y

as constants

Take the constant out:

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

= I n \cdot 3 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= I n \cdot 3 y \cdot 2 x^{2 - 1}

Simplify

= 6 n I x y

x \to 0 + lim (3 - x)

f (x) = \frac{r}{3}

\int 1 0^{u} d u

\frac{\partial}{\partial x} (2 x^{2} - y^{2} + 3 x - y)

x \to + 0 lim (x^{2} + 1)

What is (\partial)/(\partial x)(In(3x^2y)) ?
The answer to (\partial)/(\partial x)(In(3x^2y)) is 6nIxy