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Popular >

extreme f(x)=-3x^2-5x-4

Solution

extreme points

f (x) = - 3 x^{2} - 5 x - 4

Solution

Maximum (- \frac{5}{6}, - \frac{23}{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 - 4 : - \frac{23}{12}

Maximum (- \frac{5}{6}, - \frac{23}{12})

Popular Examples

extreme f(x)=-8x^3+110x^2-143x+590 extreme points

f (x) = - 8 x^{3} + 110 x^{2} - 143 x + 590

extreme f(x)=x^4+4x^3+15,-4<= x<= 1 extreme points

f (x) = x^{4} + 4 x^{3} + 15, - 4 \leq x \leq 1

extreme f(x)=cos(x)[-pi/4 , pi/4 ]extreme points

f (x) = cos (x) [- \frac{π}{4}, \frac{π}{4}]

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

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

extreme f(x)=(12)/(6-x)-x/3+8 extreme points

f (x) = \frac{12}{6 - x} - \frac{x}{3} + 8

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2-5x-4 ?
The extreme f(x)=-3x^2-5x-4 is Maximum(-5/6 ,-23/12)