vault backup: 2025-02-18 12:39:28

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arc 2025-02-18 12:39:28 -07:00
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@ -153,7 +153,7 @@ This is used when you want to take the derivative of a function raised to a func
1. $\ln y = \ln((7x+2)^x)$
2. $\ln y = x*\ln(7x + 2)$
3. $\dfrac{dy}{dx} \dfrac{1}{y} = \dfrac{7x}{7x + 2} * \ln(7x+2)$
4. $\dfrac{dy}{dx} = (\dfrac{7x}{7x+2} * \ln(7x+2))\ln(7x+2)^x$
4. $\dfrac{dy}{dx} = (\dfrac{7x}{7x+2} * \ln(7x+2))(7x+2)^x$
> Find the derivative of the function $y = (2x \sin x)^{3x}$