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Popular >

f(x)=-sec^2(x)

Solution

f (x) = - sec^{2} (x)

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range : f (x) \leq - 1

Y Intercepts : (0, - 1)

Asymptotes : Vertical x = \frac{π}{2} + πn

Extreme Points : Maximum (πn, - 1)

+1

Interval Notation

Solution steps

Periodicity of

- sec^{2} (x) : π

Domain of

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

Range of

- sec^{2} (x) : f (x) \leq - 1

Axis interception points of

- sec^{2} (x) :

Y Intercepts

: (0, - 1)

Asymptotes of

- sec^{2} (x) :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

- sec^{2} (x) :

Maximum

(πn, - 1)

Graph

Popular Examples

integral from 0 to pi/4 of 4sec^3(x)

\int_{0}^{\frac{π}{4}} 4 sec^{3} (x) d x

limit as x approaches 4 of 1/((x-4)^2)

x \to 4 lim (\frac{1}{( x - 4 ) ^{2}})

integral of 10-1/16 x

\int 10 - \frac{1}{16} x d x

integral of 1/(2sin^2(x/5))

\int \frac{1}{2 sin ^{2} ( \frac{x}{5} )} d x

tangent of x=ln(xy),\at x=1 tangent of

x = ln (x y), at x = 1

Frequently Asked Questions (FAQ)

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