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Popular >

extreme ln(x^2+49)

Solution

extreme points

ln (x^{2} + 49)

Solution

Minimum (0, 2 ln (7))

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (x^{2} + 49) : 2 ln (7)

Minimum (0, 2 ln (7))

Popular Examples

extreme f(x,y)=sqrt(9-2x^2-y^2)extreme points

f (x, y) = 9 - 2 x^{2} - y^{2}

extreme f(x,y)=2xy-3x^3y^3 extreme points

f (x, y) = 2 x y - 3 x^{3} y^{3}

extreme f(x)=-x^3-9x^2+165x+1300 extreme points

f (x) = - x^{3} - 9 x^{2} + 165 x + 1300

extreme f(x,y)=(x^2-1)(y^2-1)extreme points

f (x, y) = (x^{2} - 1) (y^{2} - 1)

extreme 2/3 x^3-4x^3+12 extreme points

\frac{2}{3} x^{3} - 4 x^{3} + 12

Frequently Asked Questions (FAQ)

What is the extreme ln(x^2+49) ?
The extreme ln(x^2+49) is Minimum(0,2ln(7))