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Popular >

extreme f(x)= 5/(x^2-49)

Solution

extreme points

f (x) = \frac{5}{x ^{2} - 49}

Solution

Maximum (0, - \frac{5}{49})

Solution steps

f^{'} (x) = - \frac{10 x}{( x ^{2} - 49 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 7,

Increasing

: - 7 < x < 0,

Decreasing

: 0 < x < 7,

Decreasing

: 7 < x < \infty

Plug

x = 0

into

\frac{5}{x ^{2} - 49} : - \frac{5}{49}

Maximum (0, - \frac{5}{49})

Popular Examples

inverse of f(x)=((x+19))/((x-17))inverse

f (x) = \frac{( x + 19 )}{( x - 17 )}

domain of f(x)=-1/(2x^{3/2)}domain

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

intercepts of f(x)=(x-4)^2-5 intercepts

f (x) = (x - 4)^{2} - 5

inverse of y=(x-2)^2 inverse

y = (x - 2)^{2}

inflection f(x)=2x(x+2)^2 inflection points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 5/(x^2-49) ?
The extreme f(x)= 5/(x^2-49) is Maximum(0,-5/49)