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Popular >

extreme f(x)=-5(x-23)^2+41

Solution

extreme points

f (x) = - 5 (x - 23)^{2} + 41

Solution

Maximum (23, 41)

Solution steps

f^{'} (x) = - 10 x + 230

Find intervals:

Increasing

: - \infty < x < 23,

Decreasing

: 23 < x < \infty

Plug

x = 23

into

- 5 (x - 23)^{2} + 41 : 41

Maximum (23, 41)

Popular Examples

asymptotes of f(x)=(3x-10)/(-5x-15)asymptotes

f (x) = \frac{3 x - 10}{- 5 x - 15}

f (x) = sin (x^{2})

domain of f(x)= 2/7 x-2 domain

f (x) = \frac{2}{7} x - 2

domain of y= 7/(sqrt(x))domain

y = \frac{7}{x}

range of ln(x)+4 range

ln (x) + 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5(x-23)^2+41 ?
The extreme f(x)=-5(x-23)^2+41 is Maximum(23,41)