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Popular >

f(x)=(3x^2+2)^2(x^2-5x)^3

Solution

f (x) = (3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 217486.30139 \dots

X Intercepts : (0, 0), (5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Saddle (0, 0), Minimum (3.46780 \dots, - 217486.30139 \dots), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 217486.30139 \dots, \infty)

Solution steps

Domain of

(3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3} : - \infty < x < \infty

Range of

(3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3} : f (x) \geq - 217486.30139 \dots

Axis interception points of

(3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3} :

X Intercepts

: (0, 0), (5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3} :

None

Extreme Points of

(3 x^{2} + 2)^{2} (x^{2} - 5 x)^{3} :

Saddle

(0, 0),

Minimum

(3.46780 \dots, - 217486.30139 \dots),

Saddle

(5, 0)

Popular Examples

integral of x^2ln(x^3)

\int x^{2} ln (x^{3}) d x

limit as x approaches-1-of x^3+2x^2+1

x \to - 1 - lim (x^{3} + 2 x^{2} + 1)

integral of x^4ln(5x)

\int x^{4} ln (5 x) d x

(ln (x^{3}))^{^{'}}

inverse oflaplace 1/((s-1)(s^2-1))inverse laplace

\frac{1}{( s - 1 ) ( s ^{2} - 1 )}

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2+2)^2(x^2-5x)^3 ?
The f(x)=(3x^2+2)^2(x^2-5x)^3 is