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Popular >

extreme f(x)=x^2-3x-10

Solution

extreme points

f (x) = x^{2} - 3 x - 10

Solution

Minimum (\frac{3}{2}, - \frac{49}{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 - 10 : - \frac{49}{4}

Minimum (\frac{3}{2}, - \frac{49}{4})

Popular Examples

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

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

extreme f(x,y)=2x^4+y^4-x^2-2y^2 extreme points

f (x, y) = 2 x^{4} + y^{4} - x^{2} - 2 y^{2}

extreme f(x)=6x^{2/3}+4x extreme points

f (x) = 6 x^{\frac{2}{3}} + 4 x

extreme f(x)=10-x^4 extreme points

f (x) = 10 - x^{4}

derivative of x^3-xy+cos(pi(x+y))

\frac{d}{d x} (x^{3} - x y + cos (π) (x + y))

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-3x-10 ?
The extreme f(x)=x^2-3x-10 is Minimum(3/2 ,-49/4)