en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(2x^2+3x)^4(3x^3+4x-5)^3

Solution

y = (2 x^{2} + 3 x)^{4} (3 x^{3} + 4 x - 5)^{3}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- \frac{3}{2}, 0), (0.82652 \dots, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{3}{2}, 0), Minimum (- 0.95811 \dots, - 1754.81014 \dots), Maximum (0, 0), Minimum (0.55853 \dots, - 315.58866 \dots), Saddle (0.82652 \dots, 0.00000 \dots)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (- \frac{3}{2}, 0), (0.82652 \dots, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{3}{2}, 0),

Minimum

(- 0.95811 \dots, - 1754.81014 \dots),

Maximum

(0, 0),

Minimum

(0.55853 \dots, - 315.58866 \dots),

Saddle

(0.82652 \dots, 0.00000 \dots)

Popular Examples

f (x) = e^{3 x} - 4

f(x)=(x-3)/(x^2+9x-22)

f (x) = \frac{x - 3}{x ^{2} + 9 x - 22}

y=sqrt(1-sin(x))

y = 1 - sin (x)

f(x)=4x^{1/3}-x^{4/3}

f (x) = 4 x^{\frac{1}{3}} - x^{\frac{4}{3}}

Frequently Asked Questions (FAQ)

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