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Popular >

f(x)=(2x^4-1)(5x^3+6x)

Solution

f (x) = (2 x^{4} - 1) (5 x^{3} + 6 x)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

Asymptotes : None

Extreme Points : Maximum (- \frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (- 5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} - 6 \frac{1.83181 E 15}{5.0 E 15})), Minimum (\frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} + 6 \frac{1.83181 E 15}{5.0 E 15}))

+1

Solution steps

Domain of

(2 x^{4} - 1) (5 x^{3} + 6 x) : - \infty < x < \infty

Range of

(2 x^{4} - 1) (5 x^{3} + 6 x) : - \infty < f (x) < \infty

Axis interception points of

(2 x^{4} - 1) (5 x^{3} + 6 x) :

X Intercepts

Y Intercepts

: (0, 0)

Asymptotes of

(2 x^{4} - 1) (5 x^{3} + 6 x) :

None

Extreme Points of

(2 x^{4} - 1) (5 x^{3} + 6 x) :

Maximum

(- \frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (- 5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} - 6 \frac{1.83181 E 15}{5.0 E 15})),

Minimum

(\frac{1.83181 E 15}{5.0 E 15}, (\frac{1.83181 E 1 5 ^{2} \cdot 2}{5.0 E 1 5 ^{2}} - 1) (5 (\frac{1.83181 E 15}{5.0 E 15})^{\frac{3}{2}} + 6 \frac{1.83181 E 15}{5.0 E 15}))

Popular Examples

derivative of ((x^2-5)^3)/(x^2+2)derivative of

\frac{( x ^{2} - 5 ) ^{3}}{x ^{2} + 2}

limit as x approaches 5 of ln(x^2-25)

x \to 5 lim (ln (x^{2} - 25))

integral of 5e^x-cos(x)+3x^2-1/x

\int 5 e^{x} - cos (x) + 3 x^{2} - \frac{1}{x} d x

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\int \frac{1}{x 36 x ^{2} - 4} d x

derivative of x^2+3x+2

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

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^4-1)(5x^3+6x) ?
The f(x)=(2x^4-1)(5x^3+6x) is