livelife92
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Homework Statement
find y=d/dx(e^x.e^x^2.e^x^3....e^x^n) at 0<=x<=1
at x=0.5
Homework Equations
The Attempt at a Solution
so y=e^(x+x2+x3...xn)
1-i tried taking natural log on both sides ,thn differentiate.
it does not help..neither does using the d/dx(uv) help...both gives
y= e(summation of i=1 to n of x^r).(1+2x+3x^2...nx^(n-1) )
= e^(x(x^n-1)/x-1).summation of nx^(n-1).
i can't simplify thies any further.and it looks horrible when x=0.5
and does not give me the slightest feeling that its the correct solution.. the answer is (4e)..but i have been told to try till i reach the solution!