What is the extreme f(x)=-21/2 x^2+24.63x-0.21 ?

The extreme f(x)=-21/2 x^2+24.63x-0.21 is Maximum(1.17285…,14.23373…)

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extreme f(x)=-21/2 x^2+24.63x-0.21

extreme points

f (x) = - \frac{21}{2} x^{2} + 24.63 x - 0.21

Maximum (1.17285 \dots, 14.23373 \dots)

Solution steps

f^{'} (x) = - 21 x + 24.63

Find intervals:

Increasing

: - \infty < x < 1.17285 \dots,

Decreasing

: 1.17285 \dots < x < \infty

Plug

x = 1.17285 \dots

into

- \frac{21}{2} x^{2} + 24.63 x - 0.21 : 14.23373 \dots

Maximum (1.17285 \dots, 14.23373 \dots)

f (x) = - 0.020148 x^{2} + 0.3862 x - 1.065

f (x) = x^{3} - 2 x^{2} - 4 x + 3, - 1 \leq x \leq 3

f (x) = - 12 x^{5} + 45 x^{4} + 40 x^{3} - 3

f (x) = 7 x^{2} - 6

f (y) = (- 25 + 2 x) (\frac{45}{2} - x) x

What is the extreme f(x)=-21/2 x^2+24.63x-0.21 ?
The extreme f(x)=-21/2 x^2+24.63x-0.21 is Maximum(1.17285…,14.23373…)