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

The answer to (\partial)/(\partial x)(x*y^2) is y^2

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

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

y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y^{2} \cdot 1

Simplify

= y^{2}

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

- x^{2} + 8 x, x^{2} - 4 x

\frac{d}{d x} (∣ x ∣^{∣ c o s (x) ∣})

\frac{\partial}{\partial x} (0.5 ln (x) + 0.5 ln (y))

\int e^{8 t} d t

What is (\partial)/(\partial x)(x*y^2) ?
The answer to (\partial)/(\partial x)(x*y^2) is y^2