h = cos(x)^4*sin(x)^6
h =
cos(x)^4*sin(x)^6
>> pretty(h)
4 6
cos(x) sin(x)
>> pretty(diff(h,2))
2 8 4 6 6 4
12 cos(x) sin(x) - 58 cos(x) sin(x) + 30 cos(x) sin(x)
>> pretty(sin(x)^3 / (x^2 - 1))
3
sin(x)
-------
2
x - 1
g = sin(x)^3 / (x^2 - 1)
g =
sin(x)^3/(x^2-1)
>> pretty(g)
3
sin(x)
-------
2
x - 1
diff(g)
ans =
3*sin(x)^2/(x^2-1)*cos(x)-2*sin(x)^3/(x^2-1)^2*x
>> pretty(diff(g))
2 3
sin(x) cos(x) sin(x) x
3 -------------- - 2 ---------
2 2 2
x - 1 (x - 1)
m = x^3*(x^2 + 1)/(x-4)
m =
x^3*(x^2+1)/(x-4)
>> pretty(m)
3 2
x (x + 1)
-----------
x - 4
>> pretty(diff(m))
2 2 4 3 2
x (x + 1) x x (x + 1)
3 ----------- + 2 ----- - -----------
x - 4 x - 4 2
(x - 4)
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Kamis, 31 Maret 2011
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