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Popular Calculus >

f(t)=(2t)/(t^2+1)

Solution

f (t) = \frac{2 t}{t ^{2} + 1}

Solution

Domain : - \infty < t < \infty

Range : - 1 \leq f (t) \leq 1

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - 1), Maximum (1, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Domain of

\frac{2 t}{t ^{2} + 1} : - \infty < t < \infty

Range of

\frac{2 t}{t ^{2} + 1} : - 1 \leq f (t) \leq 1

Axis interception points of

\frac{2 t}{t ^{2} + 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 t}{t ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{2 t}{t ^{2} + 1} :

Minimum

(- 1, - 1),

Maximum

(1, 1)

Graph

Popular Examples

tangent of f(x)= 1/(x^2),\at x=5

t an g e n t f (x) = \frac{1}{x ^{2}}, at x = 5

tangent of f(x)=3x^2-4x,(1,-1)

t an g e n t f (x) = 3 x^{2} - 4 x, (1, - 1)

tangent of-3cos(x)

t an g e n t - 3 cos (x)

integral of cot^4(2t)

\int cot^{4} (2 t) d t

derivative of ((x^2-4^3)/(x^2+2))

\frac{d}{d x} (\frac{( x ^{2} - 4 ) ^{3}}{x ^{2} + 2})

Frequently Asked Questions (FAQ)

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