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Popular Calculus Problems

limit as x approaches 1 of-x+3	\lim\:_{x\to\:1}(-x+3)
limit as x approaches 4-of (2x+2)/(x-4)	\lim\:_{x\to\:4-}(\frac{2x+2}{x-4})
limit as x approaches 2-of (x-3)/(x^2-4)	\lim\:_{x\to\:2-}(\frac{x-3}{x^{2}-4})
limit as x approaches-5 of x-8	\lim\:_{x\to\:-5}(x-8)
limit as x approaches-2 of x^3-2x^2+4x-8	\lim\:_{x\to\:-2}(x^{3}-2x^{2}+4x-8)
limit as x approaches infinity of (3e^x-4)/(5e^x+2)	\lim\:_{x\to\:\infty\:}(\frac{3e^{x}-4}{5e^{x}+2})
limit as x approaches 0+of xarctan(1/x)	\lim\:_{x\to\:0+}(x\arctan(\frac{1}{x}))
limit as x approaches 0 of 5x+3	\lim\:_{x\to\:0}(5x+3)
limit as x approaches 2 of (x+2)/(x^2+4)	\lim\:_{x\to\:2}(\frac{x+2}{x^{2}+4})
limit as x approaches 0 of e^{4/x}	\lim\:_{x\to\:0}(e^{\frac{4}{x}})
limit as x approaches 4+of x^2-12	\lim\:_{x\to\:4+}(x^{2}-12)
limit as x approaches 0 of (x^2)/(ln(x))	\lim\:_{x\to\:0}(\frac{x^{2}}{\ln(x)})
limit as x approaches 1+of (ln(x))^x	\lim\:_{x\to\:1+}((\ln(x))^{x})
limit as x approaches-2 of (5x)/(2x+4)	\lim\:_{x\to\:-2}(\frac{5x}{2x+4})
limit as x approaches-1 of x^2+2x+2	\lim\:_{x\to\:-1}(x^{2}+2x+2)
limit as x approaches 3+of 10-2x	\lim\:_{x\to\:3+}(10-2x)
limit as x approaches 0 of 3x-x^2	\lim\:_{x\to\:0}(3x-x^{2})
limit as x approaches 0 of (sin(p)x)/x	\lim\:_{x\to\:0}(\frac{\sin(p)x}{x})
limit as x approaches infinity of (x)x	\lim\:_{x\to\:\infty\:}((x)x)
limit as x approaches-3 of \sqrt[3]{x+2}	\lim\:_{x\to\:-3}(\sqrt[3]{x+2})
limit as x approaches 0+of (9x)/(\|x\|)	\lim\:_{x\to\:0+}(\frac{9x}{\left\|x\right\|})
limit as x approaches 0 of (3x)/(2x)	\lim\:_{x\to\:0}(\frac{3x}{2x})
limit as x approaches 0-of xe^x	\lim\:_{x\to\:0-}(xe^{x})
limit as x approaches 2 of e^{x/(x-2)}	\lim\:_{x\to\:2}(e^{\frac{x}{x-2}})
limit as x approaches 0 of (1-e^x)/(3x)	\lim\:_{x\to\:0}(\frac{1-e^{x}}{3x})
limit as x approaches 0 of 2sin(1/x)	\lim\:_{x\to\:0}(2\sin(\frac{1}{x}))
limit as x approaches 0 of+(1+x)^{4/x}	\lim\:_{x\to\:0}(+(1+x)^{\frac{4}{x}})
limit as x approaches 0+of sqrt(x^2)	\lim\:_{x\to\:0+}(\sqrt{x^{2}})
limit as x approaches 0 of (1+x) 2/x	\lim\:_{x\to\:0}((1+x)\frac{2}{x})
limit as x approaches 0+of tan(x)(ln(x))	\lim\:_{x\to\:0+}(\tan(x)(\ln(x)))
limit as x approaches 1+of x^{6/((x-1))}	\lim\:_{x\to\:1+}(x^{\frac{6}{(x-1)}})
limit as x approaches 0+of x/(sin(8x))	\lim\:_{x\to\:0+}(\frac{x}{\sin(8x)})
limit as x approaches-3 of 5x+9	\lim\:_{x\to\:-3}(5x+9)
limit as x approaches 0 of (sin^1(x))/x	\lim\:_{x\to\:0}(\frac{\sin^{1}(x)}{x})
limit as x approaches 1 of \|x-3\|	\lim\:_{x\to\:1}(\left\|x-3\right\|)
limit as x approaches 2 of (x^2-1)^3	\lim\:_{x\to\:2}((x^{2}-1)^{3})
limit as x approaches 1/2-of xsec(pix)	\lim\:_{x\to\:\frac{1}{2}-}(x\sec(πx))
limit as x approaches pi+of-cos(x)	\lim\:_{x\to\:π+}(-\cos(x))
deg2rad 120	deg2rad\:120^{\circ\:}
derivative of 4/x	derivative\:\frac{4}{x}
derivative of (2^x)^3	derivative\:(2^{x})^{3}
derivative of 2x^3+5	derivative\:2x^{3}+5
derivative of (e^{-x})^2	derivative\:(e^{-x})^{2}
derivative of log_{10}(1-x)	derivative\:\log_{10}(1-x)
derivative of e^{-2}x	derivative\:e^{-2}x
derivative of (2^x)^2	derivative\:(2^{x})^{2}
derivative of log_{10}(1+x)	derivative\:\log_{10}(1+x)
derivative of sin^2(x^2+1)	derivative\:\sin^{2}(x^{2}+1)
derivative of ((x^2+1))/(sqrt(x))	derivative\:\frac{(x^{2}+1)}{\sqrt{x}}
derivative of (x^5)/2	derivative\:\frac{x^{5}}{2}
derivative of ((x+1)/x)^2	derivative\:(\frac{x+1}{x})^{2}
derivative of (4ln(x+2))/(x^2)	derivative\:\frac{4\ln(x+2)}{x^{2}}
derivative of f(x)=2x^3-5x^2+10x+2	derivative\:f(x)=2x^{3}-5x^{2}+10x+2
derivative of 1/((x+1))	derivative\:\frac{1}{(x+1)}
derivative of 1/((x^2+a^2))	derivative\:\frac{1}{(x^{2}+a^{2})}
derivative of y=(10^x)^2	derivative\:y=(10^{x})^{2}
derivative of x^3+6x^2+12x-13	derivative\:x^{3}+6x^{2}+12x-13
derivative of log_{10}(1/x)	derivative\:\log_{10}(\frac{1}{x})
derivative of (2x+3)^5(3-x)^4	derivative\:(2x+3)^{5}(3-x)^{4}
derivative of 6x+2ln(x)-400	derivative\:6x+2\ln(x)-400
derivative of (log_{10}(1))/x	derivative\:\frac{\log_{10}(1)}{x}
derivative of 1/(x^n)	derivative\:\frac{1}{x^{n}}
derivative of 13^t	derivative\:13^{t}
derivative of (1/x)^x	derivative\:(\frac{1}{x})^{x}
derivative of e^1-x	derivative\:e^{1}-x
derivative of ((2x+3))/((x^3-5))	derivative\:\frac{(2x+3)}{(x^{3}-5)}
derivative of 4cos(4x^2)	derivative\:4\cos(4x^{2})
d/(dt)(((sin(t)))/((1-cos(t))))	\frac{d}{dt}(\frac{(\sin(t))}{(1-\cos(t))})
derivative of e^3x	derivative\:e^{3}x
derivative of (x^2+1)e^x	derivative\:(x^{2}+1)e^{x}
d/(dt)(-2+5t)	\frac{d}{dt}(-2+5t)
derivative of x^{sin^2(x)}	derivative\:x^{\sin^{2}(x)}
d/(df)(((f(1)+f(4)))/((-3f(0))))	\frac{d}{df}(\frac{(f(1)+f(4))}{(-3f(0))})
derivative of e^{x^2+y^2}	derivative\:e^{x^{2}+y^{2}}
derivative of y=-10x+7	derivative\:y=-10x+7
d/(dn)((2n-1)!!)	\frac{d}{dn}((2n-1)!!)
derivative of (1-e^x)/(1+e^x)	derivative\:\frac{1-e^{x}}{1+e^{x}}
derivative of 2ln(x^2+1)	derivative\:2\ln(x^{2}+1)
derivative of 2+x	derivative\:2+x
derivative of 1/((1+x))	derivative\:\frac{1}{(1+x)}
derivative of (x^3)/2+1/(x^2)	derivative\:\frac{x^{3}}{2}+\frac{1}{x^{2}}
derivative of x^6+x^3+2	derivative\:x^{6}+x^{3}+2
derivative of (5x)/2	derivative\:\frac{5x}{2}
derivative of (x-1)/x	derivative\:\frac{x-1}{x}
derivative of 1-2xy	derivative\:1-2xy
d/(dt)(20+5t)	\frac{d}{dt}(20+5t)
derivative of 3x^2y	derivative\:3x^{2}y
derivative of 1/(a^x)	derivative\:\frac{1}{a^{x}}
derivative of e^2x+1	derivative\:e^{2}x+1
derivative of f(x)=((x^2+x))/((2x-1))	derivative\:f(x)=\frac{(x^{2}+x)}{(2x-1)}
derivative of (3x^2-1)(2x+3)	derivative\:(3x^{2}-1)(2x+3)
derivative of (2^x)^x	derivative\:(2^{x})^{x}
derivative of (e^x)^{-2}	derivative\:(e^{x})^{-2}
derivative of ((e^x+1))/((e^x-1))	derivative\:\frac{(e^{x}+1)}{(e^{x}-1)}
derivative of (-2)/(x^2)	derivative\:\frac{-2}{x^{2}}
derivative of ((x^2+1))/((x-2))	derivative\:\frac{(x^{2}+1)}{(x-2)}
derivative of ln(x+2)	derivative\:\ln(x+2)
derivative of e^4x	derivative\:e^{4}x
derivative of 4sin^2(x^2)	derivative\:4\sin^{2}(x^{2})
derivative of (x(x-2))/((x-1)^2)	derivative\:\frac{x(x-2)}{(x-1)^{2}}

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