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Monster Media 1996 #15
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Monster Media Number 15 (Monster Media)(July 1996).ISO
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math
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differ.zip
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OUT.TXT
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1996-02-11
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4KB
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206 lines
Input expression:
x^3+x^2+x+1
Output expression:
3*x^2+2*x+1
Input expression:
sin(cos(x))
Output expression:
-sin(x)*cos(cos(x))
Input expression:
(x^3+2)/x
Output expression:
(3*x^3-(x^3+2))/x^2
Input expression:
x^0.5*(x-1)
Output expression:
x^0.5+0.5*(x-1)/x^0.5
Input expression:
(x-4)^2
Output expression:
2*(x-4)
Input expression:
(7*x+1)*(7*x-1)*(x-1)
Output expression:
(7*x+1)*(7*x-1)+(x-1)*(7*(7*x+1)+7*(7*x-1))
Input expression:
1+1/x+1/x^2+1/x^3
Output expression:
-(1/x^2+2/x^3+3/x^4)
Input expression:
a*x^3+b*x^2+c*x+d
Output expression:
3*a*x^2+2*b*x+c
Input expression:
1/sin(x)
Output expression:
-cos(x)/sin(x)^2
Input expression:
cos(x^2+1)^2
Output expression:
-4*x*sin(x^2+1)*cos(x^2+1)
Input expression:
2*cos(x^2+1)^2
Output expression:
-8*x*sin(x^2+1)*cos(x^2+1)
Input expression:
(exp(x)-exp(-x))^(-1)
Output expression:
-(exp(x)+exp(-x))/(exp(x)-exp(-x))^2
Input expression:
ln(sin(x)/(1-cos(x)))
Output expression:
((1-cos(x))*cos(x)-sin(x)^2)/(sin(x)*(1-cos(x)))
Input expression:
exp(exp(x))
Output expression:
exp(x)*exp(exp(x))
Input expression:
ln(sin(x)*cos(x))
Output expression:
(-sin(x)^2+cos(x)^2)/(sin(x)*cos(x))
Input expression:
1/(x^2+x+1)
Output expression:
-(2*x+1)/(x^2+x+1)^2
Input expression:
ln(sec(x))
Output expression:
tan(x)
Input expression:
cos(x)*sin(x)^3
Output expression:
3*cos(x)^2*sin(x)^2-sin(x)^4
Input expression:
x^sin(x)
Output expression:
(cos(x)*ln(x)+sin(x)/x)*x^sin(x)
Input expression:
(2+ln((1+x)^2))/(2-ln((1-x)^2))
Output expression:
(2*(2-ln((1-x)^2))/(1+x)-2*(2+ln((1+x)^2))/(1-x))/(2-ln((1-x)^2))^2
Input expression:
cosec(x^2)
Output expression:
-2*x*cosec(x^2)*cot(x^2)
Input expression:
cot(x^3)
Output expression:
-3*x^2*cosec(x^3)^2
Input expression:
cosh(x^4+x^3)
Output expression:
(4*x^3+3*x^2)*sinh(x^4+x^3)
Input expression:
sinh(x^3-2*x)
Output expression:
(3*x^2-2)*cosh(x^3-2*x)
Input expression:
tanh(1/x)
Output expression:
-1/x^2*sech(1/x)^2
Input expression:
sech(1+x)
Output expression:
-sech(1+x)*tanh(1+x)
Input expression:
cosech(x^2-x)
Output expression:
-cosech(x^2-x)*(2*x-1)*coth(x^2-x)
Input expression:
coth(x^5+1/x)
Output expression:
-(5*x^4-1/x^2)*cosech(x^5+1/x)^2
Input expression:
ln(cos(x))*ln(sin(x))
Output expression:
ln(cos(x))*cos(x)/sin(x)-ln(sin(x))*sin(x)/cos(x)
Input expression:
sinh(x)^cosh(x)
Output expression:
(sinh(x)*ln(sinh(x))+cosh(x)^2/sinh(x))*sinh(x)^cosh(x)
Input expression:
(sin(x)+cos(x))^(sinh(x)+cosh(x))
Output expression:
((cosh(x)+sinh(x))*ln(sin(x)+cos(x))+(cos(x)-sin(x))*(sinh(x)+cosh(x))/(sin(x)+cos(x)))*(sin(x)+cos(x))^(sinh(x)+cosh(x))
Input expression:
arcsin(x)
Output expression:
1/(1-x^2)^0.5
Input expression:
arcsin((1-x^2)^0.5)
Output expression:
-1/(1-x^2)^0.5
Input expression:
arccos(x)
Output expression:
-1/(1-x^2)^0.5
Input expression:
arctan(x)
Output expression:
1/(1+x^2)
Input expression:
arcsinh(x)
Output expression:
1/(1+x^2)^0.5
Input expression:
arccosh(x)
Output expression:
1/(x^2-1)^0.5
Input expression:
arctanh(x)
Output expression:
1/(1-x^2)
Input expression:
sin(-x^3-3*x^2+2*x-3)
Output expression:
(-(3*x^2+6*x)+2)*cos(-(x^3+3*x^2)+2*x-3)
Input expression:
arctanh(exp(-x^3)*((-x^2-x)-1))
Output expression:
(-exp(-x^3)*(2*x+1)+3*(x^2+x+1)*x^2*exp(-x^3))/(1-(exp(-x^3)*(x^2+x+1))^2)
Input expression:
sin(a*x+b)+cos(c*x+d)
Output expression:
a*cos(a*x+b)-c*sin(c*x+d)