Product Rule and Chain Rule Differentiation

Question

If $$y = x^2\sqrt[4]{3x + 1}$$, what is $$\frac{dy}{dx}$$?

Accepted Answer

$$\displaystyle\frac{x(27x + 8)}{4\sqrt[4]{(3x + 1)^3}}$$

Answer

$$2x\sqrt[4]{3x + 1} + \frac{3x^2}{4\sqrt[4]{3x + 1}}$$

Answer

$$\displaystyle\frac{6x^2 + x}{\sqrt[4]{3x + 1}}$$

Answer

$$\displaystyle\frac{x(24x + 3)}{4\sqrt[4]{(3x + 1)^3}}$$

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