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Popular >

extreme f(x)=x^2+3x-9

Solution

extreme points

f (x) = x^{2} + 3 x - 9

Solution

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{3}{2}

into

x^{2} + 3 x - 9 : - \frac{45}{4}

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

Popular Examples

extreme f(x)=(25x^2+81)/x extreme points

f (x) = \frac{25 x ^{2} + 81}{x}

extreme K(y,z)=4yz extreme points

K (y, z) = 4 yz

extreme f(x)=5x^3e^{-0.9x},-1<= x<= 5 extreme points

f (x) = 5 x^{3} e^{- 0.9 x}, - 1 \leq x \leq 5

extreme f(x)=x^4-98x^2+11,-6<= x<= 15 extreme points

f (x) = x^{4} - 98 x^{2} + 11, - 6 \leq x \leq 15

extreme f(x)=-2x^2+8x+13 extreme points

f (x) = - 2 x^{2} + 8 x + 13

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+3x-9 ?
The extreme f(x)=x^2+3x-9 is Minimum(-3/2 ,-45/4)