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Popular >

extreme 4x^3+6x^2+3x

Solution

extreme points

4 x^{3} + 6 x^{2} + 3 x

Solution

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

Solution steps

f^{'} (x) = 12 x^{2} + 12 x + 3

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

4 x^{3} + 6 x^{2} + 3 x : - \frac{1}{2}

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

Popular Examples

inverse of f(x)=(x+4)/(x-2)inverse

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

slope of y^2-10=-4x slope

y^{2} - 10 = - 4 x

midpoint (-3,-5),(-0.5,0)midpoint

(- 3, - 5), (- 0.5, 0)

domain of f(x)=(xsqrt(x))/(2x^2-5)domain

f (x) = \frac{x x}{2 x ^{2} - 5}

inverse of f(x)= 1/(x+9)inverse

f (x) = \frac{1}{x + 9}

Frequently Asked Questions (FAQ)

What is the extreme 4x^3+6x^2+3x ?
The extreme 4x^3+6x^2+3x is Saddle(-1/2 ,-1/2)