cot(x)2−cot(x)+csc(x)2=4\cot\left(x\right)^2-\cot\left(x\right)+\csc\left(x\right)^2=4cot(x)2−cot(x)+csc(x)2=4
−35⋅55-35\cdot55−35⋅55
dydx=y3yx2−2x2\frac{dy}{dx}=\frac{y^3}{yx^2-2x^2}dxdy=yx2−2x2y3
sin(a)cos(a)cos(a)(sin(a)−sin(a)cos(a))\frac{\sin\left(a\right)\cos\left(a\right)}{\cos\left(a\right)\left(\sin\left(a\right)-\sin\left(a\right)\cos\left(a\right)\right)}cos(a)(sin(a)−sin(a)cos(a))sin(a)cos(a)
limx→0sin3(sin(x))0\lim_{x\to0}\frac{\sin^3\left(\sin\left(x\right)\right)}{0}x→0lim0sin3(sin(x))
sin2(t)+4sin2(t)+3cos2(t)\frac{\sin^2\left(t\right)+4\sin^2\left(t\right)+3}{\cos^2\left(t\right)}cos2(t)sin2(t)+4sin2(t)+3
limx→0(x2+9x)\lim_{x\to0}\left(\frac{\sqrt{x^2+9}}{x}\right)x→0lim(xx2+9)
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