en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(4x^5-x^3)^5

Solution

f (x) = (4 x^{5} - x^{3})^{5}

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Saddle (- \frac{1}{2}, 0), Maximum (- \frac{3}{2 5}, \frac{2187 3}{250000000000 5}), Saddle (0, 0), Minimum (\frac{3}{2 5}, - \frac{2187 3}{250000000000 5}), Saddle (\frac{1}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

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

Maximum

(- \frac{3}{2 5}, \frac{2187 3}{250000000000 5}),

Saddle

(0, 0),

Minimum

(\frac{3}{2 5}, - \frac{2187 3}{250000000000 5}),

Saddle

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

Popular Examples

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

f (x) = \frac{x ^{4} - 3 x ^{3} - 6 x ^{2} - 3 x + 2}{x}

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

f(x)=-9.75+3.25x

f (x) = - 9.75 + 3.25 x

f(r)=r^2(3r^4-7r+2)

f (r) = r^{2} (3 r^{4} - 7 r + 2)

f(x)=-x^3+6x^2-9x+1

f (x) = - x^{3} + 6 x^{2} - 9 x + 1

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^5-x^3)^5 ?
The f(x)=(4x^5-x^3)^5 is