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ddx(x(x+2)(2x+1)(5x+3))\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)dxd((2x+1)(5x+3)x(x+2))
ddx(sin(x)x2)\frac{d}{dx}\left(\frac{\sin\left(x\right)}{x^2}\right)dxd(x2sin(x))
ddx(2x3(2−5x)x2+1)\frac{d}{dx}\left(\frac{2x^3}{\left(2-5x\right)\sqrt{x^2+1}}\right)dxd((2−5x)x2+12x3)
ddt(t−4tcos(t))\frac{d}{dt}\left(\frac{\sqrt{t-4}}{tcos\left(t\right)}\right)dtd(tcos(t)t−4)
ddx(cos(x)x3)\frac{d}{dx}\left(\frac{\cos\left(x\right)}{x^3}\right)dxd(x3cos(x))
ddx(2x3tanh(1x2))\frac{d}{dx}\left(2x^3\tanh\left(\frac{1}{x^2}\right)\right)dxd(2x3tanh(x21))
ddx(ln(x)x3)\frac{d}{dx}\left(\frac{ln\left(x\right)}{x^3}\right)dxd(x3ln(x))
The quotient rule is a formal rule for differentiating problems where one function is divided by another.
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