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Popular >

extreme t^3-5t^2-2

Solution

extreme points

t^{3} - 5 t^{2} - 2

Solution

Maximum (0, - 2), Minimum (\frac{10}{3}, - \frac{554}{27})

Solution steps

f^{'} (t) = 3 t^{2} - 10 t

Find intervals:

Increasing

: - \infty < t < 0,

Decreasing

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

Increasing

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

Plug

t = 0

into

t^{3} - 5 t^{2} - 2 : - 2

Maximum (0, - 2)

Plug

t = \frac{10}{3}

into

t^{3} - 5 t^{2} - 2 : - \frac{554}{27}

Minimum (\frac{10}{3}, - \frac{554}{27})

Maximum (0, - 2), Minimum (\frac{10}{3}, - \frac{554}{27})

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extreme 3|x|extreme points

3 ∣ x ∣

Frequently Asked Questions (FAQ)

What is the extreme t^3-5t^2-2 ?
The extreme t^3-5t^2-2 is Maximum(0,-2),Minimum(10/3 ,-554/27)