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Popular >

extreme f(x)=-5(x-3)^{6/7}+9

Solution

extreme points

f (x) = - 5 (x - 3)^{\frac{6}{7}} + 9

Solution

Maximum (3, 9)

Solution steps

f^{'} (x) = - \frac{30}{7 ( x - 3 ) ^{\frac{1}{7}}}

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

- 5 (x - 3)^{\frac{6}{7}} + 9 : 9

Maximum (3, 9)

Popular Examples

slope ofintercept y-2= 1/3 (x-3)slope intercept

y - 2 = \frac{1}{3} (x - 3)

line (1,20),(3,12)line

(1, 20), (3, 12)

inverse of x^3+16 inverse

x^{3} + 16

asymptotes of f(x)=(2x^2+1)/(x^2)asymptotes

f (x) = \frac{2 x ^{2} + 1}{x ^{2}}

distance (2,9),(-2,6)distance

(2, 9), (- 2, 6)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5(x-3)^{6/7}+9 ?
The extreme f(x)=-5(x-3)^{6/7}+9 is Maximum(3,9)