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Popular >

extreme f(x)=-5(x-2)^{6/7}+9

Solution

extreme points

f (x) = - 5 (x - 2)^{\frac{6}{7}} + 9

Solution

Maximum (2, 9)

Solution steps

f^{'} (x) = - \frac{30}{7 ( x - 2 ) ^{\frac{1}{7}}}

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- 5 (x - 2)^{\frac{6}{7}} + 9 : 9

Maximum (2, 9)

Popular Examples

parity tan(x^2)parity

tan (x^{2})

critical x^4-12x^3 critical points

x^{4} - 12 x^{3}

inverse of y=2x^2-5 inverse

y = 2 x^{2} - 5

asymptotes of f(x)=(3x-2)/(2x+1)asymptotes

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

inverse of sqrt(3x+2)inverse

3 x + 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5(x-2)^{6/7}+9 ?
The extreme f(x)=-5(x-2)^{6/7}+9 is Maximum(2,9)