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Popular >

extreme f(x)=-3x^2-5x+7

Solution

extreme points

f (x) = - 3 x^{2} - 5 x + 7

Solution

Maximum (- \frac{5}{6}, \frac{109}{12})

Solution steps

f^{'} (x) = - 6 x - 5

Find intervals:

Increasing

: - \infty < x < - \frac{5}{6},

Decreasing

: - \frac{5}{6} < x < \infty

Plug

x = - \frac{5}{6}

into

- 3 x^{2} - 5 x + 7 : \frac{109}{12}

Maximum (- \frac{5}{6}, \frac{109}{12})

Graph

Popular Examples

extreme 2x^3-2x^2-2x+9 extreme points

2 x^{3} - 2 x^{2} - 2 x + 9

extreme f(x)=320x^2-2560x^3 extreme points

f (x) = 320 x^{2} - 2560 x^{3}

extreme f(x,y)=x^2-4x+y^2-6y-2 extreme points

f (x, y) = x^{2} - 4 x + y^{2} - 6 y - 2

extreme f(x)=4x^3-x^2+9 extreme points

f (x) = 4 x^{3} - x^{2} + 9

extreme x^2-6x+12 extreme points

x^{2} - 6 x + 12

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2-5x+7 ?
The extreme f(x)=-3x^2-5x+7 is Maximum(-5/6 , 109/12)