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Popular >

f(x)=x^3sqrt(2x+1)

Solution

f (x) = x^{3} 2 x + 1

Solution

Domain : x \geq - \frac{1}{2}

Range : f (x) \geq - \frac{27}{343 7}

X Intercepts : (0, 0), (- \frac{1}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{2}, 0), Minimum (- \frac{3}{7}, - \frac{27}{343 7}), Saddle (0, 0)

+1

Solution steps

Domain of

x^{3} 2 x + 1 : x \geq - \frac{1}{2}

Range of

x^{3} 2 x + 1 : f (x) \geq - \frac{27}{343 7}

Axis interception points of

x^{3} 2 x + 1 :

X Intercepts

: (0, 0), (- \frac{1}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} 2 x + 1 :

None

Extreme Points of

x^{3} 2 x + 1 :

Maximum

(- \frac{1}{2}, 0),

Minimum

(- \frac{3}{7}, - \frac{27}{343 7}),

Saddle

(0, 0)

Popular Examples

integral from 1 to 100 of 3/(x^3)

\int_{1}^{100} \frac{3}{x ^{3}} d x

limit as x approaches 6 of x^{-1}

x \to 6 lim (x^{- 1})

f(x)=\sqrt[6]{(x^3-5x-2)/(x^3+3)}

area x-y^2=1,x+y=7 area

x - y^{2} = 1, x + y = 7

derivative of 2(x+1)

\frac{d}{d x} (2 (x + 1))

Frequently Asked Questions (FAQ)

What is the f(x)=x^3sqrt(2x+1) ?
The f(x)=x^3sqrt(2x+1) is