What is (\partial)/(\partial x)(5xy^2) ?

The answer to (\partial)/(\partial x)(5xy^2) is 5y^2

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(\partial)/(\partial x)(5xy^2)

\frac{\partial}{\partial x} (5 x y^{2})

5 y^{2}

Solution steps

\frac{\partial}{\partial x} (5 x y^{2})

Treat

y

as a constant

Take the constant out:

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

= 5 y^{2} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 5 y^{2} \cdot 1

Simplify

= 5 y^{2}

d er i v a t i v e f (x) = 2 x^{2} - 6 x^{\frac{1}{3}}

a re a y = 3 x (- x + 1), y = - 3 x

\frac{d}{d x} (e^{m x})

d er i v a t i v e 7 + 2 x + x^{3} (5 x^{2} + 1)^{5}

x \to 0 lim (\frac{1}{3 x sin ( x )})

What is (\partial)/(\partial x)(5xy^2) ?
The answer to (\partial)/(\partial x)(5xy^2) is 5y^2