1. The problem statement, all variables and given/known data find y=d/dx(e^x.e^x^2.e^x^3.................e^x^n) at 0<=x<=1 at x=0.5 2. Relevant equations 3. 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 cant 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!!!!