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

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

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

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

8 (x + y)^{7}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

Simplify

= 8 (x + y)^{7}

r^{2} - 6 x^{2}

f (x) = x^{4} - 13 x^{2} + 36, at x = 2

\int - 4 x^{3} e^{4 x^{2}} d x

y^{^{'}} + y = y^{- 2}

\int e^{3 t} (e^{3 t} - 1) d t

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