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Popular >

extreme 125x^3-15x+1

Solution

extreme points

125 x^{3} - 15 x + 1

Solution

Maximum (- \frac{1}{5}, 3), Minimum (\frac{1}{5}, - 1)

Solution steps

f^{'} (x) = 375 x^{2} - 15

Find intervals:

Increasing

: - \infty < x < - \frac{1}{5},

Decreasing

: - \frac{1}{5} < x < \frac{1}{5},

Increasing

: \frac{1}{5} < x < \infty

Plug

x = - \frac{1}{5}

into

125 x^{3} - 15 x + 1 : 3

Maximum (- \frac{1}{5}, 3)

Plug

x = \frac{1}{5}

into

125 x^{3} - 15 x + 1 : - 1

Minimum (\frac{1}{5}, - 1)

Maximum (- \frac{1}{5}, 3), Minimum (\frac{1}{5}, - 1)

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Frequently Asked Questions (FAQ)

What is the extreme 125x^3-15x+1 ?
The extreme 125x^3-15x+1 is Maximum(-1/5 ,3),Minimum(1/5 ,-1)