f(x) = -abs(x)+1
plot(f(x),(x,-2,2),thickness=2,color='black',ymin=-1) + text('a(x)',(-1.5,.5),color='black',fontsize=15)
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j(x) = abs(x)-1
plot(j(x),(x,-2,2),thickness=2,color='black',ymin=-1) + text('d(x)',(-1,.75),color='black',fontsize=15)
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g(x) = -(x^2)^(1/3) + 1
plot(g(x),(x,-2,2),color='black',thickness='2') + text('c(x)',(-1.5,.5),fontsize=15,color='black')
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h1(x) = (x)^(1/3)
h2(x) = -(-x)^(1/3)
plot(h1(x),(x,0,2),thickness=2,color='black') + plot(h2(x),(x,-2,0),thickness=2,color='black') + text('b(x)',(-1.5,1),fontsize=15,color='black')
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gprime(x) = derivative(g(x),x); gprime(x)
-2/3*x/(x^2)^(2/3) -2/3*x/(x^2)^(2/3) |
plot(gprime(x),(x,-2,0), color='black',ymin=-2, ymax=2, thickness=2)+plot(gprime(x),(x,0,2), ymin=-2, ymax=2, thickness=2,color='black')
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p= point((0,1),pointsize=70,rgbcolor=(1,1,1),faceted=True)
p+=(plot(-1,(x,0.07,2),ymin=-2,thickness=2,color='black')+plot(1,(x,-2,-.07),ymax=2,thickness=2,color='black'))
p+=point((0,-1),pointsize=70,rgbcolor=(1,1,1),faceted=True)
p
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p= point((0,1),pointsize=70,rgbcolor=(1,1,1),faceted=True)
p+=(plot(1,(x,0.07,2),ymin=-2,thickness=2,color='black')+plot(-1,(x,-2,-.07),ymax=2,thickness=2,color='black'))
p+=point((0,-1),pointsize=70,rgbcolor=(1,1,1),faceted=True)
p
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plot((1/3)*(x^2)^(-1/3),(x,-2,2),ymin=-1,ymax=2,color='black',thickness=2)
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plot(abs(ln(x-2)),(x,2,5),ymax=10) + plot(x^2/(x-2),(-5,2),ymin=-5)
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plot(0,(x,-7,7),xmax=7,xmin=-7,ymin=-7,ymax=7,thickness=0, gridlines='major')
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plot(e^(x*abs(x)),(x,-1,1),axes=false)
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f(x) = sin(x)/x
plot(f(x),(x,0,10), thickness=2, color='black', ymax=1.2, figsize=[15,10]) + plot(f(x),(x,-10,0), thickness=2, color='black')
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f(x) = e^x - x^4
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plot(e^x-x^4,(x,0,10))
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fprime(x) = derivative(f(x),x); fprime(x)
-4*x^3 + e^x -4*x^3 + e^x |
plot(x*ln(x),(x,0,4), ymax=4, ymin=-4) + plot(ln(x) + 1, (x,0,4), color='red') + plot(1/x, (x,0,4), color='green')
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a(x) = x^3 -x^2 + 2*x + 2
aprime(x) = derivative(a(x),x)
adoubleprime(x) = derivative(aprime(x),x)
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plot(a(x),(x,-1.5,2),ymax=10,color='black',thickness=2,figsize=[8,5]) + plot(aprime(x),(x,-1.5,2),color='black',ymin=-7,thickness=2) + plot(adoubleprime(x),(x,-1.5,2),color='black',thickness=2) + text('a(x)',(-1.3,8),fontsize=10,color='black')+ text('b(x)',(-.5,9),fontsize=10,color='black')+ text('c(x)',(-1,-7),fontsize=10,color='black')
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plot(x*sin(x),(x,0,2*pi), color='black', thickness=1.5) + text('f\'(x)',(2,-3), fontsize=20,color='black')
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