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d/(dt)(5t+45)	\frac{d}{dt}(5t+45)
derivative of (3x^{-5})/2	derivative\:\frac{3x^{-5}}{2}
derivative of f(x)=10-5x	derivative\:f(x)=10-5x
d/(d{r)}(({g}m^1m^2)/({r)^2})	\frac{d}{d{r}}(\frac{{g}\cdot\:m^{1}\cdot\:m^{2}}{{r}^{2}})
derivative of (4x^3+2)/x	derivative\:\frac{4x^{3}+2}{x}
d/(db)(((1+sin(b)))/((1-sin(b))))	\frac{d}{db}(\frac{(1+\sin(b))}{(1-\sin(b))})
derivative of y= x/((x+2))	derivative\:y=\frac{x}{(x+2)}
derivative of-2y^2	derivative\:-2y^{2}
derivative of ln(x^4+3)	derivative\:\ln(x^{4}+3)
derivative of ln((x+1)/x)	derivative\:\ln(\frac{x+1}{x})
derivative of 64(2+x)^1	derivative\:64(2+x)^{1}
derivative of sin(x^2-5x)	derivative\:\sin(x^{2}-5x)
d/(dt)(5-t)	\frac{d}{dt}(5-t)
derivative of e^{-0}0.25x	derivative\:e^{-0}0.25x
d/(da)(((cos^2(a)-cos(a)))/(sin(a)))	\frac{d}{da}(\frac{(\cos^{2}(a)-\cos(a))}{\sin(a)})
derivative of e^{2x^2+3xy}	derivative\:e^{2x^{2}+3xy}
derivative of sec^2(2x+1)	derivative\:\sec^{2}(2x+1)
derivative of 2/3 (x^4)/6+5(x^4)/5	derivative\:\frac{2}{3}\frac{x^{4}}{6}+5\frac{x^{4}}{5}
derivative of e^logx+1	derivative\:e^{l}ogx+1
derivative of y=(2t-3)^2	derivative\:y=(2t-3)^{2}
derivative of (2x)/((1-x^2)^2)	derivative\:\frac{2x}{(1-x^{2})^{2}}
derivative of 10+x	derivative\:10+x
derivative of 12^{0.5}-x^{1.5}	derivative\:12^{0.5}-x^{1.5}
derivative of-5x+10	derivative\:-5x+10
derivative of y=(3+x^2)^{1/2}	derivative\:y=(3+x^{2})^{\frac{1}{2}}
derivative of ln(5x+1)	derivative\:\ln(5x+1)
derivative of cos(x)-sin(2x)	derivative\:\cos(x)-\sin(2x)
derivative of 7x^3+sin(x)+x^2e^2	derivative\:7x^{3}+\sin(x)+x^{2}e^{2}
derivative of x^3+2x^2+4	derivative\:x^{3}+2x^{2}+4
derivative of 3x^4+6x^2+8	derivative\:3x^{4}+6x^{2}+8
derivative of 2x-e^{4x^2}	derivative\:2x-e^{4x^{2}}
derivative of (3x)^2	derivative\:(3x)^{2}
derivative of ((3x^2-1))/((x+1)^3)	derivative\:\frac{(3x^{2}-1)}{(x+1)^{3}}
derivative of sin^2(2x+5)	derivative\:\sin^{2}(2x+5)
derivative of y=((x^2-2x))/((x+1))	derivative\:y=\frac{(x^{2}-2x)}{(x+1)}
d/(dt)(10+5t+2t^2)	\frac{d}{dt}(10+5t+2t^{2})
d/(dn)((1-i)^{n-1})	\frac{d}{dn}((1-i)^{n-1})
derivative of (x/(x+1))cos(x)	derivative\:(\frac{x}{x+1})\cos(x)
derivative of 4-3u^2	derivative\:4-3u^{2}
derivative of 60t^2-60t	derivative\:60t^{2}-60t
derivative of 13e^{-x}	derivative\:13e^{-x}
derivative of x^x-100	derivative\:x^{x}-100
derivative of ((x+6))/x	derivative\:\frac{(x+6)}{x}
derivative of ln(9/x)	derivative\:\ln(\frac{9}{x})
derivative of e^x-2	derivative\:e^{x}-2
derivative of (w*vtx^2+x)/(x^2+2x+7)	derivative\:\frac{w\cdot\:vtx^{2}+x}{x^{2}+2x+7}
d/(d{r)}(3.14{r}^3)	\frac{d}{d{r}}(3.14{r}^{3})
derivative of y=5x^2-6x+12	derivative\:y=5x^{2}-6x+12
derivative of (9x^8-8x^9)((x+1)/x)	derivative\:(9x^{8}-8x^{9})(\frac{x+1}{x})
derivative of log_{10}(2^x+2^{-x})	derivative\:\log_{10}(2^{x}+2^{-x})
d/(dn)(i^{2n})	\frac{d}{dn}(i^{2n})
derivative of cot(x^4)	derivative\:\cot(x^{4})
derivative of (x+2)(x^3-1)	derivative\:(x+2)(x^{3}-1)
simplify d/(dd)(d+14)	simplify\:\frac{d}{dd}(d+14)
derivative of x^2(1-m^2)	derivative\:x^{2}(1-m^{2})
derivative of f(x)=10x^2+5x-2	derivative\:f(x)=10x^{2}+5x-2
derivative of arcsin(x^3+1)	derivative\:\arcsin(x^{3}+1)
derivative of arctan(6/x)	derivative\:\arctan(\frac{6}{x})
derivative of 1+ln(x^2)	derivative\:1+\ln(x^{2})
derivative of 13x^2+26x+15	derivative\:13x^{2}+26x+15
derivative of 2x-y+1	derivative\:2x-y+1
derivative of 2x-y	derivative\:2x-y
derivative of t*log_{10}(2t)	derivative\:t\cdot\:\log_{10}(2t)
derivative of 2t^2e^{-t}	derivative\:2t^{2}e^{-t}
derivative of ((x^2+1))/((1-x))	derivative\:\frac{(x^{2}+1)}{(1-x)}
d/(dt)(30+2t)	\frac{d}{dt}(30+2t)
derivative of y=3cos^4(x)	derivative\:y=3\cos^{4}(x)
derivative of 3q^2	derivative\:3q^{2}
d/(d{x)}(({x}^2+{y}^2+{z}^2)^3)	\frac{d}{d{x}}(({x}^{2}+{y}^{2}+{z}^{2})^{3})
derivative of 2x+y	derivative\:2x+y
simplify d/(dd)(d+7)	simplify\:\frac{d}{dd}(d+7)
derivative of y=x+2xsin(x)	derivative\:y=x+2x\sin(x)
derivative of y=tan(-x+1)	derivative\:y=\tan(-x+1)
derivative of (x^2-2(m-n)-2m+2n)	\frac{d}{dx}((x^{2}-2)(m-n)-2m+2n)
derivative of 2^x-x^2	derivative\:2^{x}-x^{2}
derivative of (x^2+3x)^5	derivative\:(x^{2}+3x)^{5}
derivative of ((4x-y)/((2x+y)))	\frac{d}{dx}(\frac{(4x-y)}{(2x+y)})
derivative of sin(x^{1/2})	derivative\:\sin(x^{\frac{1}{2}})
derivative of (3+x^2)^{1/2}	derivative\:(3+x^{2})^{\frac{1}{2}}
derivative of (-x)/((x-1))	derivative\:\frac{-x}{(x-1)}
derivative of cos^2(y-sin^2(x))	\frac{d}{dx}(\cos^{2}(y)-\sin^{2}(x))
derivative of f(x)=(6x^2+7x)^4	derivative\:f(x)=(6x^{2}+7x)^{4}
derivative of y=(3x*5+2)/x	derivative\:y=\frac{3x\cdot\:5+2}{x}
derivative of y=(x^3+3)^4	derivative\:y=(x^{3}+3)^{4}
derivative of 3x^5+2x^3+5x	derivative\:3x^{5}+2x^{3}+5x
derivative of 3/((r-2)^2)	derivative\:\frac{3}{(r-2)^{2}}
derivative of x=5+6t+7t^2	derivative\:x=5+6t+7t^{2}
d/(dt)(-200t+9000)	\frac{d}{dt}(-200t+9000)
derivative of 3x^{1/2}+x^2	derivative\:3x^{\frac{1}{2}}+x^{2}
derivative of y=2x+cos(x)	derivative\:y=2x+\cos(x)
derivative of y=x(3-4x)	derivative\:y=x(3-4x)
derivative of x^2-y^2	derivative\:x^{2}-y^{2}
derivative of 1/((x+2)^2)	derivative\:\frac{1}{(x+2)^{2}}
derivative of ((x-m^2))/((x+1))	derivative\:\frac{(x-m^{2})}{(x+1)}
d/(dt)(5-6t+t^2)	\frac{d}{dt}(5-6t+t^{2})
d/(dt)(3e^{sin(0.5t)}-4)	\frac{d}{dt}(3e^{\sin(0.5t)}-4)
derivative of-(cos^2(x+cos^2(y))2)	\frac{d}{dx}(-(\cos^{2}(x)+\cos^{2}(y))2)
derivative of (-1)/((x+1))	derivative\:\frac{-1}{(x+1)}
derivative of 2/(x^{-5)}	derivative\:\frac{2}{x^{-5}}
derivative of e^{0.5}t	derivative\:e^{0.5}t

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