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Popular >

extreme 17x(x-1)^3

Solution

extreme points

17 x (x - 1)^{3}

Solution

Minimum (\frac{1}{4}, - \frac{459}{256}), Saddle (1, 0)

Solution steps

f^{'} (x) = 17 ((x - 1)^{3} + 3 x (x - 1)^{2})

Find intervals:

Decreasing

: - \infty < x < \frac{1}{4},

Increasing

: \frac{1}{4} < x < 1,

Increasing

: 1 < x < \infty

Plug

x = \frac{1}{4}

into

17 x (x - 1)^{3} : - \frac{459}{256}

Minimum (\frac{1}{4}, - \frac{459}{256})

Plug

x = 1

into

17 x (x - 1)^{3} : 0

Saddle (1, 0)

Minimum (\frac{1}{4}, - \frac{459}{256}), Saddle (1, 0)

Popular Examples

perpendicular y=-3/4 x+2 perpendicular

y = - \frac{3}{4} x + 2

inverse of f(x)=-5x+20 inverse

f (x) = - 5 x + 20

y = x^{2} - 2 x - 3

midpoint (2,-6),(4,10)midpoint

(2, - 6), (4, 10)

inverse of f(x)=ln(x-3)-2 inverse

f (x) = ln (x - 3) - 2

Frequently Asked Questions (FAQ)

What is the extreme 17x(x-1)^3 ?
The extreme 17x(x-1)^3 is Minimum(1/4 ,-459/256),Saddle(1,0)