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Popular >

extreme f(x)=-16-7x-x^2

Solution

extreme points

f (x) = - 16 - 7 x - x^{2}

Solution

Maximum (- \frac{7}{2}, - \frac{15}{4})

Solution steps

f^{'} (x) = - 2 x - 7

Find intervals:

Increasing

: - \infty < x < - \frac{7}{2},

Decreasing

: - \frac{7}{2} < x < \infty

Plug

x = - \frac{7}{2}

into

- 16 - 7 x - x^{2} : - \frac{15}{4}

Maximum (- \frac{7}{2}, - \frac{15}{4})

Popular Examples

extreme f(x,y)=-5x^2-8y^2-2xy+42x+102y extreme points

f (x, y) = - 5 x^{2} - 8 y^{2} - 2 x y + 42 x + 102 y

extreme f(x)=y^3+3x^2y-6x^2-6y^2+2 extreme points

f (x) = y^{3} + 3 x^{2} y - 6 x^{2} - 6 y^{2} + 2

extreme x^2+2xy+2y^2+2x-2y extreme points

x^{2} + 2 x y + 2 y^{2} + 2 x - 2 y

extreme f(x)=t^3-15t^2+72t+8 extreme points

f (x) = t^{3} - 15 t^{2} + 72 t + 8

extreme f(x)= 7/12 x^3+7x^2+21x+9 extreme points

f (x) = \frac{7}{12} x^{3} + 7 x^{2} + 21 x + 9

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-16-7x-x^2 ?
The extreme f(x)=-16-7x-x^2 is Maximum(-7/2 ,-15/4)