What is (\partial)/(\partial x)((7x+8y)^3) ?

The answer to (\partial)/(\partial x)((7x+8y)^3) is 21(7x+8y)^2

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(\partial)/(\partial x)((7x+8y)^3)

\frac{\partial}{\partial x} ((7 x + 8 y)^{3})

21 (7 x + 8 y)^{2}

Solution steps

\frac{\partial}{\partial x} ((7 x + 8 y)^{3})

Treat

y

as a constant

Apply the chain rule:

3 (7 x + 8 y)^{2} \frac{\partial}{\partial x} (7 x + 8 y)

= 3 (7 x + 8 y)^{2} \frac{\partial}{\partial x} (7 x + 8 y)

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

= 3 (7 x + 8 y)^{2} \cdot 7

Simplify

= 21 (7 x + 8 y)^{2}

x \to \infty lim (\frac{x ^{2}}{x ^{4} + 2})

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

2 t x d x + (t^{2} - x^{2}) d t = 0

y = \frac{9}{x}

\int_{0}^{2} \frac{1}{2} d x

What is (\partial)/(\partial x)((7x+8y)^3) ?
The answer to (\partial)/(\partial x)((7x+8y)^3) is 21(7x+8y)^2