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## Homework Statement:

- help with my work

## Relevant Equations:

- derivative and integral

Hello, good afternoon guys. I need a little help from you: D

1)n a positive integer.

f(x)=x(1-x)^n

Solve the equation f'(x)=0 in 0<x<1

this question I asked and found x = 1 / (x + 1) ok

2)An be the maximum value of f(x)=x(1-x)^n in [0,1]

Calculate lim (n+1)an

n tending to infinity

the maximum value would not be making the derivative equal to zero? would it be x = 1? I did not understand

1)n a positive integer.

f(x)=x(1-x)^n

Solve the equation f'(x)=0 in 0<x<1

this question I asked and found x = 1 / (x + 1) ok

2)An be the maximum value of f(x)=x(1-x)^n in [0,1]

Calculate lim (n+1)an

n tending to infinity

the maximum value would not be making the derivative equal to zero? would it be x = 1? I did not understand

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