What is (\partial)/(\partial x)((x-y)^{10}) ?

The answer to (\partial)/(\partial x)((x-y)^{10}) is 10(x-y)^9

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(\partial)/(\partial x)((x-y)^{10})

\frac{\partial}{\partial x} ((x - y)^{10})

10 (x - y)^{9}

Solution steps

\frac{\partial}{\partial x} ((x - y)^{10})

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 10 (x - y)^{9} \cdot 1

Simplify

= 10 (x - y)^{9}

x^{4}, x^{2}

f (x) = d e^{- c x}

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

f (t) = e^{3 t}

f (x) = 8 tan (x), (\frac{π}{4}, 8)

What is (\partial)/(\partial x)((x-y)^{10}) ?
The answer to (\partial)/(\partial x)((x-y)^{10}) is 10(x-y)^9