What is the extreme f(x)=(6x^5)/5-15x^3-81x+2 ?

The extreme f(x)=(6x^5)/5-15x^3-81x+2 is Maximum(-3, 1792/5),Minimum(3,-1772/5)

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extreme f(x)=(6x^5)/5-15x^3-81x+2

extreme points

f (x) = \frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2

Maximum (- 3, \frac{1792}{5}), Minimum (3, - \frac{1772}{5})

Solution steps

f^{'} (x) = 6 x^{4} - 45 x^{2} - 81

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

\frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2 : \frac{1792}{5}

Maximum (- 3, \frac{1792}{5})

Plug

x = 3

into

\frac{6 x ^{5}}{5} - 15 x^{3} - 81 x + 2 : - \frac{1772}{5}

Minimum (3, - \frac{1772}{5})

Maximum (- 3, \frac{1792}{5}), Minimum (3, - \frac{1772}{5})

- 0.1 t^{2} 0.8 t + 98.8

f (x, y) = x^{3} + y^{3} - 108 x - 27 y - 6

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

f (x) = cos (π x), 0 \leq x \leq \frac{1}{6}

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

What is the extreme f(x)=(6x^5)/5-15x^3-81x+2 ?
The extreme f(x)=(6x^5)/5-15x^3-81x+2 is Maximum(-3, 1792/5),Minimum(3,-1772/5)