Find all the critical points of f when f ( x ) = x 4 / 5 ( x − 5 2 )

Question

Find all the critical points of f when   f  (  x  )  =      x          4              /            5        (  x  −      5          2        )

Adam Bradley · Accepted Answer

x                  9        5              −  25      x                  4        5             now we take derivative and get  9      /    5      x          4              /            5        −  20      x          −      1              /            5       and equal it to 0  9      /    5      x          4              /            5        −  20      x          −      1              /            5        =  0  9      /    5      x          4              /            5        =  20      x          −      1              /            5      9/5 x= 20x= 11.11

Find all the critical points of f when f(x)=x^(4/5)(x-5^2)

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