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Popular >

extreme sec^2(x)

Solution

extreme points

sec^{2} (x)

Solution

Minimum (πn, 1)

Solution steps

Find the critical points:

x = πn

Domain of

sec^{2} (x) : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Find intervals:

Increasing

: πn < x < \frac{π}{2} + πn,

Decreasing

: \frac{π}{2} + πn < x < π + πn

Plug the extreme point

x = πn

into

sec^{2} (x) \Rightarrow y = 1

Minimum (πn, 1)

Popular Examples

extreme x^3-2x^2 extreme points

x^{3} - 2 x^{2}

extreme f(x)=x^3+y^3-6xy extreme points

f (x) = x^{3} + y^{3} - 6 x y

extreme y=xsqrt(4-x^2)extreme points

y = x 4 - x^{2}

extreme (-x^3-x+5)/(2x^3+3x^2-7)extreme points

\frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

extreme y= x/2+2/x extreme points

y = \frac{x}{2} + \frac{2}{x}

Frequently Asked Questions (FAQ)

What is the extreme sec^2(x) ?
The extreme sec^2(x) is Minimum(pin,1)