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Popular >

extreme f(x)=-4x^2-x+5

Solution

extreme points

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

Solution

Maximum (- \frac{1}{8}, \frac{81}{16})

Solution steps

f^{'} (x) = - 8 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{8},

Decreasing

: - \frac{1}{8} < x < \infty

Plug

x = - \frac{1}{8}

into

- 4 x^{2} - x + 5 : \frac{81}{16}

Maximum (- \frac{1}{8}, \frac{81}{16})

Popular Examples

range of (x^2+6)/2 range

\frac{x ^{2} + 6}{2}

domain of (x^2-4x-32)/(x-8)domain

\frac{x ^{2} - 4 x - 32}{x - 8}

domain of y=xsqrt(36-x^2)domain

y = x 36 - x^{2}

intercepts of f(x)=x^5-5x^3+4x intercepts

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

domain of f(x)=x^3-x^2+1 domain

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-4x^2-x+5 ?
The extreme f(x)=-4x^2-x+5 is Maximum(-1/8 , 81/16)