What is (\partial)/(\partial y)(10x^9y^9+3) ?

The answer to (\partial)/(\partial y)(10x^9y^9+3) is 90x^9y^8

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(\partial)/(\partial y)(10x^9y^9+3)

\frac{\partial}{\partial y} (10 x^{9} y^{9} + 3)

90 x^{9} y^{8}

Solution steps

\frac{\partial}{\partial y} (10 x^{9} y^{9} + 3)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (10 x^{9} y^{9}) + \frac{\partial}{\partial y} (3)

\frac{\partial}{\partial y} (10 x^{9} y^{9}) = 90 x^{9} y^{8}

\frac{\partial}{\partial y} (3) = 0

= 90 x^{9} y^{8} + 0

Simplify

= 90 x^{9} y^{8}

\frac{\partial}{\partial y} (\frac{5}{y})

\frac{d}{d x} (\frac{\frac{d}{d x} ( sin ( x ) )}{x})

y^{^{''}} + 5 y^{^{'}} + 6 y = sin (e^{x})

n = 1 \sum \infty (\frac{1}{9})^{n}

What is (\partial)/(\partial y)(10x^9y^9+3) ?
The answer to (\partial)/(\partial y)(10x^9y^9+3) is 90x^9y^8