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

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

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

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

5 y^{4}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 5 y^{4} \cdot 1

Simplify

= 5 y^{4}

\frac{\partial}{\partial y} (\frac{13}{2} x^{4} y)

\int \frac{ln ( sin ( x ) )}{sin ^{2} ( x )} d x

\frac{\partial}{\partial x} (x^{2} + y^{2} - y^{2} x - 7)

f (x) = x^{2} - 2, (3, 7)

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

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