What is the extreme f(x)=2x^3-10x^2-16 ?

The extreme f(x)=2x^3-10x^2-16 is Maximum(0,-16),Minimum(10/3 ,-1432/27)

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extreme f(x)=2x^3-10x^2-16

extreme points

f (x) = 2 x^{3} - 10 x^{2} - 16

Maximum (0, - 16), Minimum (\frac{10}{3}, - \frac{1432}{27})

Solution steps

f^{'} (x) = 6 x^{2} - 20 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{10}{3},

Increasing

: \frac{10}{3} < x < \infty

Plug

x = 0

into

2 x^{3} - 10 x^{2} - 16 : - 16

Maximum (0, - 16)

Plug

x = \frac{10}{3}

into

2 x^{3} - 10 x^{2} - 16 : - \frac{1432}{27}

Minimum (\frac{10}{3}, - \frac{1432}{27})

Maximum (0, - 16), Minimum (\frac{10}{3}, - \frac{1432}{27})

f (x, y) = x y e^{x + 2 y}

q (x, z) = 3 x + 9 x z

f (x) = x^{- \frac{5}{7}} (x + 4)

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

f (x, y) = 2 x^{3} + y^{2} - 24 x

What is the extreme f(x)=2x^3-10x^2-16 ?
The extreme f(x)=2x^3-10x^2-16 is Maximum(0,-16),Minimum(10/3 ,-1432/27)