What is (\partial)/(\partial y)((x+y)^8) ?

The answer to (\partial)/(\partial y)((x+y)^8) is 8(x+y)^7

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(\partial)/(\partial y)((x+y)^8)

\frac{\partial}{\partial y} ((x + y)^{8})

8 (x + y)^{7}

Solution steps

\frac{\partial}{\partial y} ((x + y)^{8})

Treat

x

as a constant

Apply the chain rule:

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

= 8 (x + y)^{7} \frac{\partial}{\partial y} (x + y)

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

= 8 (x + y)^{7} \cdot 1

Simplify

= 8 (x + y)^{7}

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

\int_{0}^{1} r^{3} d r

\int sin (x) e^{2 x} d x

t an g e n t f (x) = x, (25, 5)

\frac{d}{d x} (\frac{x + 7}{x})

What is (\partial)/(\partial y)((x+y)^8) ?
The answer to (\partial)/(\partial y)((x+y)^8) is 8(x+y)^7