What is (\partial)/(\partial x)((3x+6y)^{10}) ?

The answer to (\partial)/(\partial x)((3x+6y)^{10}) is 30(3x+6y)^9

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(\partial)/(\partial x)((3x+6y)^{10})

\frac{\partial}{\partial x} ((3 x + 6 y)^{10})

30 (3 x + 6 y)^{9}

Solution steps

\frac{\partial}{\partial x} ((3 x + 6 y)^{10})

Treat

y

as a constant

Apply the chain rule:

10 (3 x + 6 y)^{9} \frac{\partial}{\partial x} (3 x + 6 y)

= 10 (3 x + 6 y)^{9} \frac{\partial}{\partial x} (3 x + 6 y)

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

= 10 (3 x + 6 y)^{9} \cdot 3

Simplify

= 30 (3 x + 6 y)^{9}

\int \frac{sin ( 2 x )}{23 + cos ^{2} ( x )} d x

\frac{d}{d x} ((\frac{1}{x - 3})^{2})

f (x) = x - 2 cos (x)

\frac{1 - 6 t}{3 + t}

x \to 0 + lim (\frac{1}{x} + ln (x))

What is (\partial)/(\partial x)((3x+6y)^{10}) ?
The answer to (\partial)/(\partial x)((3x+6y)^{10}) is 30(3x+6y)^9