What is the f(x)=7x^{-6}-5x^{-3} ?

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f(x)=7x^{-6}-5x^{-3}

f (x) = 7 x^{- 6} - 5 x^{- 3}

Domain : x < 0 or x > 0

Range : - \frac{25}{28} \leq f (x) < 0 or f (x) > 0

X Intercepts : (3 \frac{7}{5}, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (3 \frac{14}{5}, - \frac{25}{28})

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

7 x^{- 6} - 5 x^{- 3} : x < 0 or x > 0

Range of

7 x^{- 6} - 5 x^{- 3} : - \frac{25}{28} \leq f (x) < 0 or f (x) > 0

Axis interception points of

7 x^{- 6} - 5 x^{- 3} :

X Intercepts

: (3 \frac{7}{5}, 0)

Asymptotes of

7 x^{- 6} - 5 x^{- 3} :

Horizontal

: y = 0

Extreme Points of

7 x^{- 6} - 5 x^{- 3} :

Minimum

(3 \frac{14}{5}, - \frac{25}{28})

y = x, (0, 1), x^{2}

2 x (\frac{d y}{d x}) = cos^{2} (y)

\int \frac{1}{( x ^{2} + 21 ) ^{3}} d x

\int \frac{3}{x + 1} d x

x ln (x) = y (1 + 24 + y^{2}) y^{^{'}} (x), y (1) = 1