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Popular >

extreme 2t^4+6t^3-5

Solution

extreme points

2 t^{4} + 6 t^{3} - 5

Solution

Minimum (- \frac{9}{4}, - \frac{2827}{128}), Saddle (0, - 5)

Solution steps

f^{'} (t) = 8 t^{3} + 18 t^{2}

Find intervals:

Decreasing

: - \infty < t < - \frac{9}{4},

Increasing

: - \frac{9}{4} < t < 0,

Increasing

: 0 < t < \infty

Plug

t = - \frac{9}{4}

into

2 t^{4} + 6 t^{3} - 5 : - \frac{2827}{128}

Minimum (- \frac{9}{4}, - \frac{2827}{128})

Plug

t = 0

into

2 t^{4} + 6 t^{3} - 5 : - 5

Saddle (0, - 5)

Minimum (- \frac{9}{4}, - \frac{2827}{128}), Saddle (0, - 5)

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Frequently Asked Questions (FAQ)

What is the extreme 2t^4+6t^3-5 ?
The extreme 2t^4+6t^3-5 is Minimum(-9/4 ,-2827/128),Saddle(0,-5)