Find the maximum likelihood of k

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A population has a density function given by f(x)=(k+1)x^k 0<x<1 0 otherwise For n observations,x1,x2,x3...xn made from this population, find the maximum likelihood of k.

Here's my attempt: I have got k=-1-n/(product of log xi fron i=1 to i=n).

Im not sure if it's correct. Can somebody help?