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Popular >

extreme f(x)=5x^2-15x

Solution

extreme points

f (x) = 5 x^{2} - 15 x

Solution

Minimum (\frac{3}{2}, - \frac{45}{4})

Solution steps

f^{'} (x) = 10 x - 15

Find intervals:

Decreasing

: - \infty < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

5 x^{2} - 15 x : - \frac{45}{4}

Minimum (\frac{3}{2}, - \frac{45}{4})

Popular Examples

asymptotes of f(x)=(6x-7)/(x-4)asymptotes

f (x) = \frac{6 x - 7}{x - 4}

distance (-2,-3),(4,0)distance

(- 2, - 3), (4, 0)

inverse of f(x)=(x+4)^{1/4}inverse

f (x) = (x + 4)^{\frac{1}{4}}

line (0,100),(-20,0)line

(0, 100), (- 20, 0)

monotone (x^2-1)/(x^3)monotone intervals

\frac{x ^{2} - 1}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x^2-15x ?
The extreme f(x)=5x^2-15x is Minimum(3/2 ,-45/4)