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})

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

x \to 3 - lim (x^{2} + 2 x)

\frac{d}{d x} (8 x^{7})

\int tan (X) d X

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