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10 questions from this quiz
vuโฒโuvโฒv2\frac{vu' - uv'}{v^2}v2vuโฒโuvโฒโ
The numerator
To account for how the denominator changes
Identify functions u(x)u(x)u(x) and v(x)v(x)v(x)
โ4x(x2โ1)2\frac{-4x}{(x^2 - 1)^2}(x2โ1)2โ4xโ
xcosโก(x)โsinโก(x)x2\frac{x\cos(x) - \sin(x)}{x^2}x2xcos(x)โsin(x)โ
When the functions are composite functions
3e3x3e^{3x}3e3x
dydx=โ8c(4xโc)2โ 0\frac{dy}{dx} = \frac{-8c}{(4x-c)^2} \neq 0dxdyโ=(4xโc)2โ8cโ๎ =0
2xโ3x2e3x\frac{2x - 3x^2}{e^{3x}}e3x2xโ3x2โ
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