What is the extreme f(x)=-4x^2+172x-1528 ?

The extreme f(x)=-4x^2+172x-1528 is Maximum(43/2 ,321)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-4x^2+172x-1528

extreme points

f (x) = - 4 x^{2} + 172 x - 1528

Maximum (\frac{43}{2}, 321)

Solution steps

f^{'} (x) = - 8 x + 172

Find intervals:

Increasing

: - \infty < x < \frac{43}{2},

Decreasing

: \frac{43}{2} < x < \infty

Plug

x = \frac{43}{2}

into

- 4 x^{2} + 172 x - 1528 : 321

Maximum (\frac{43}{2}, 321)

f (x) = x (5 - x) (8 - x)

f (x) = x^{4} - 8 x^{3} + 16 x^{2} + 6

f (x) = x^{4} - 8 x^{3} + 16 x^{2} + 7

f (x) = 2 x^{2} - 10 x + 5, 0 \leq x \leq 7

sin (4 x)

What is the extreme f(x)=-4x^2+172x-1528 ?
The extreme f(x)=-4x^2+172x-1528 is Maximum(43/2 ,321)