What is (\partial)/(\partial x)(6xy^5+4y^3) ?

The answer to (\partial)/(\partial x)(6xy^5+4y^3) is 6y^5

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(\partial)/(\partial x)(6xy^5+4y^3)

\frac{\partial}{\partial x} (6 x y^{5} + 4 y^{3})

6 y^{5}

Solution steps

\frac{\partial}{\partial x} (6 x y^{5} + 4 y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (6 x y^{5}) + \frac{\partial}{\partial x} (4 y^{3})

\frac{\partial}{\partial x} (6 x y^{5}) = 6 y^{5}

\frac{\partial}{\partial x} (4 y^{3}) = 0

= 6 y^{5} + 0

Simplify

= 6 y^{5}

\frac{d}{d x} (- x^{π})

\int \frac{x + 3}{1 - x ^{2}} d x

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

x \to 1 lim (sin^{2} (x - 1))

\int \frac{1}{3 y + 2} d y

What is (\partial)/(\partial x)(6xy^5+4y^3) ?
The answer to (\partial)/(\partial x)(6xy^5+4y^3) is 6y^5