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d/(dt)(4+3t+2t^2)	\frac{d}{dt}(4+3t+2t^{2})
derivative of p+1	derivative\:p+1
derivative of-3cos^3(x)	derivative\:-3\cos^{3}(x)
derivative of 1/(sqrt(x^2+a^2))	derivative\:\frac{1}{\sqrt{x^{2}+a^{2}}}
derivative of 3e^2x	derivative\:3e^{2}x
derivative of (4x^2-7)^{1/2}	derivative\:(4x^{2}-7)^{\frac{1}{2}}
d/(dt)(8000(1.12)^t)	\frac{d}{dt}(8000(1.12)^{t})
derivative of x^{128}-15sin(x)	derivative\:x^{128}-15\sin(x)
derivative of x/(x^{-4)}	derivative\:\frac{x}{x^{-4}}
derivative of y=(3x-5)^4	derivative\:y=(3x-5)^{4}
derivative of (1500)/x	derivative\:\frac{1500}{x}
derivative of y= 1/(2x)	derivative\:y=\frac{1}{2x}
derivative of y=log_{10}((x+1)/x)	derivative\:y=\log_{10}(\frac{x+1}{x})
derivative of 5q^2	derivative\:5q^{2}
derivative of 6/(4x)	derivative\:\frac{6}{4x}
derivative of (t^3)/3+(t^2)/2+t-1	derivative\:\frac{t^{3}}{3}+\frac{t^{2}}{2}+t-1
derivative of 6^{x+2}	derivative\:6^{x+2}
derivative of 10y^4	derivative\:10y^{4}
derivative of (x^2+3x+5)/(x^2-1)	derivative\:\frac{x^{2}+3x+5}{x^{2}-1}
derivative of ((x-1))/((2x^2))	derivative\:\frac{(x-1)}{(2x^{2})}
derivative of (4x^5+1)^3	derivative\:(4x^{5}+1)^{3}
derivative of 2x^3-16x^2-2c+4d	\frac{d}{dx}(2x^{3}-16x^{2}-2c+4d)
derivative of g(x)=3^{2x+7}	derivative\:g(x)=3^{2x+7}
derivative of (x+5)^6*(x^2+2)^5	derivative\:(x+5)^{6}\cdot\:(x^{2}+2)^{5}
d/(dt)(4cos^3(t))	\frac{d}{dt}(4\cos^{3}(t))
derivative of ((1))/((x^n+a^n))	derivative\:\frac{(1)}{(x^{n}+a^{n})}
derivative of 5x^2y^2	derivative\:5x^{2}y^{2}
derivative of (-2y)/x	derivative\:\frac{-2y}{x}
derivative of ((x^3-x))/((x^2))	derivative\:\frac{(x^{3}-x)}{(x^{2})}
derivative of ((-48x))/((x^2-16)^2)	derivative\:\frac{(-48x)}{(x^{2}-16)^{2}}
derivative of sin(cos(x^2))	derivative\:\sin(\cos(x^{2}))
derivative of f(x)=(x+2)^2-3x	derivative\:f(x)=(x+2)^{2}-3x
derivative of (11)/z	derivative\:\frac{11}{z}
derivative of ((1+1)/x)^2	derivative\:(\frac{1+1}{x})^{2}
derivative of y=(2^x)/(3^x)	derivative\:y=\frac{2^{x}}{3^{x}}
derivative of x^2*sqrt(1+x^2)	derivative\:x^{2}\cdot\:\sqrt{1+x^{2}}
derivative of ((x-y)/(y_{2)(x)})	\frac{d}{dx}(\frac{(x-y)}{y_{2}(x)})
derivative of 2cos^2(t/2)	derivative\:2\cos^{2}(\frac{t}{2})
derivative of 2x-((250)/(x^2))	derivative\:2x-(\frac{250}{x^{2}})
derivative of sin(x^6)+sin^6(x)	derivative\:\sin(x^{6})+\sin^{6}(x)
derivative of 3(x^2)/x-2/x	derivative\:3\frac{x^{2}}{x}-\frac{2}{x}
derivative of log_{10}(x)x+1	derivative\:\log_{10}(x)x+1
derivative of e^{-3x}sin(5x)	derivative\:e^{-3x}\sin(5x)
derivative of ((x+1/x)^{3/7})	\frac{d}{dx}((\frac{x+1}{x})^{\frac{3}{7}})
derivative of y=(arcsin(1))/x	derivative\:y=\frac{\arcsin(1)}{x}
derivative of ((1-x)x^2)/((1+x^2))	derivative\:\frac{(1-x)x^{2}}{(1+x^{2})}
derivative of y= x/((x^2-3))	derivative\:y=\frac{x}{(x^{2}-3)}
derivative of y=sin(x^2+2)	derivative\:y=\sin(x^{2}+2)
derivative of (2x-4)^3	derivative\:(2x-4)^{3}
derivative of sin^2(x)-x	derivative\:\sin^{2}(x)-x
d/(dt)((c_{1}+c,t)*e^t)	\frac{d}{dt}((c_{1}+c,t)\cdot\:e^{t})
d/(dt)(12+3t+4t^2)	\frac{d}{dt}(12+3t+4t^{2})
derivative of log_{10}(1+tan^1(x))	derivative\:\log_{10}(1+\tan^{1}(x))
derivative of a(b(x-h)^2+k)	\frac{d}{dx}(a(b(x-h))^{2}+k)
d/(dt)(-60+20t)	\frac{d}{dt}(-60+20t)
derivative of y=5x+x+5	derivative\:y=5x+x+5
derivative of y=(e^x+sin(x))/2	derivative\:y=\frac{e^{x}+\sin(x)}{2}
derivative of x^{1-x}	derivative\:x^{1-x}
derivative of (z-1)/(x^3)	derivative\:\frac{z-1}{x^{3}}
derivative of y=(x-1)(x-2)	derivative\:y=(x-1)(x-2)
derivative of 6x+457	derivative\:6x+457
derivative of (x^5)/3	derivative\:\frac{x^{5}}{3}
derivative of ((1-2x)/(1+x))^3	derivative\:(\frac{1-2x}{1+x})^{3}
derivative of y=x^3+e^7x	derivative\:y=x^{3}+e^{7}x
derivative of (2a)/y	derivative\:\frac{2a}{y}
derivative of 1/(ln(x)ln(x))	derivative\:\frac{1}{\ln(x)\ln(x)}
derivative of ln(a*x^2+b)	\frac{d}{dx}(\ln(a\cdot\:x^{2}+b))
(3-2^x)^'	(3-2^{x})^{\prime\:}
derivative of (cos(x^3))/2	derivative\:\frac{\cos(x^{3})}{2}
derivative of 6sin^5(x)cos(x)	derivative\:6\sin^{5}(x)\cos(x)
derivative of x^2+y^2-6x+8y	derivative\:x^{2}+y^{2}-6x+8y
d/(dr(x))((r(x)^{cos^3(x)})/((4x^2-1)^5))	\frac{d}{dr(x)}(\frac{r(x)^{\cos^{3}(x)}}{(4x^{2}-1)^{5}})
d/(ds)(2((590m))/(9.8) m/(s^2))	\frac{d}{ds}(2\frac{(590m)}{9.8}\frac{m}{s^{2}})
derivative of f(x)=x^{2-e^x}	derivative\:f(x)=x^{2-e^{x}}
derivative of (-4)/(x^3)	derivative\:\frac{-4}{x^{3}}
derivative of y=2x^2-5x	derivative\:y=2x^{2}-5x
derivative of x^3+x^2+x-4	derivative\:x^{3}+x^{2}+x-4
derivative of-t^2+2t	derivative\:-t^{2}+2t
simplify d/(dd)(785(d))	simplify\:\frac{d}{dd}(785(d))
derivative of 5x^2+6x-1	derivative\:5x^{2}+6x-1
derivative of ln(2x)*x^2	derivative\:\ln(2x)\cdot\:x^{2}
derivative of 4^{cosh(x)}	derivative\:4^{\cosh(x)}
derivative of arctan(1/(2x-1))	derivative\:\arctan(\frac{1}{2x-1})
derivative of 6x^2y^2	derivative\:6x^{2}y^{2}
derivative of x^3-3x^2	derivative\:x^{3}-3x^{2}
derivative of (10)/((x+5)^2)	derivative\:\frac{10}{(x+5)^{2}}
derivative of 12cos^2(t)	derivative\:12\cos^{2}(t)
derivative of 1/(x(x^2+e^x))	derivative\:\frac{1}{x(x^{2}+e^{x})}
derivative of 1+2xy	derivative\:1+2xy
derivative of sin^2(x)+tan^3(x)	derivative\:\sin^{2}(x)+\tan^{3}(x)
d/(dt)((500)/((t+2))-(1000)/(((t+2)^2)))	\frac{d}{dt}(\frac{500}{(t+2)}-\frac{1000}{((t+2)^{2})})
derivative of (x^2)/((e^x-1)^2)	derivative\:\frac{x^{2}}{(e^{x}-1)^{2}}
derivative of x^3+4x^2+3	derivative\:x^{3}+4x^{2}+3
derivative of y=(x^3-x)/(x+1)	derivative\:y=\frac{x^{3}-x}{x+1}
derivative of 5cos^2(3x)	derivative\:5\cos^{2}(3x)
derivative of u+1	derivative\:u+1
derivative of 5^{x+3}	derivative\:5^{x+3}
derivative of x^3-x+2	derivative\:x^{3}-x+2
derivative of ((t^2)/((t^3+2)))^2	derivative\:(\frac{t^{2}}{(t^{3}+2)})^{2}
derivative of 3x^3-2x^2-x+1	derivative\:3x^{3}-2x^{2}-x+1

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