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Popular >

extreme f(x)=2x^3+1

Solution

extreme points

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

Solution

Saddle (0, 1)

Solution steps

f^{'} (x) = 6 x^{2}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

2 x^{3} + 1 : 1

Saddle (0, 1)

Popular Examples

extreme 1/4 x^4-2x^3+3x^2+2 extreme points

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

extreme f(x)=x+(16)/x ,0.2<= x<= 16 extreme points

f (x) = x + \frac{16}{x}, 0.2 \leq x \leq 16

extreme f(x)=3x^{5/3}-2x^{2/3}extreme points

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

extreme g(x)=-x^3+3x-10 extreme points

g (x) = - x^{3} + 3 x - 10

extreme f(x)= 1/20 x^2-25sqrt(x)extreme points

f (x) = \frac{1}{20} x^{2} - 25 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^3+1 ?
The extreme f(x)=2x^3+1 is Saddle(0,1)