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Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{5}{3}, \frac{16}{3})

Solution steps

f^{'} (x) = - 6 x + 10

Find intervals:

Increasing

: - \infty < x < \frac{5}{3},

Decreasing

: \frac{5}{3} < x < \infty

Plug

x = \frac{5}{3}

into

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

Maximum (\frac{5}{3}, \frac{16}{3})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2+10x-3 ?
The extreme f(x)=-3x^2+10x-3 is Maximum(5/3 , 16/3)