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Popular >

extreme f(x)=x(75-3x)

Solution

extreme points

f (x) = x (75 - 3 x)

Solution

Maximum (\frac{25}{2}, \frac{1875}{4})

Solution steps

f^{'} (x) = - 3 (2 x - 25)

Find intervals:

Increasing

: - \infty < x < \frac{25}{2},

Decreasing

: \frac{25}{2} < x < \infty

Plug

x = \frac{25}{2}

into

x (75 - 3 x) : \frac{1875}{4}

Maximum (\frac{25}{2}, \frac{1875}{4})

Popular Examples

range of (x^2-3x-2)/(x^2-4)range

\frac{x ^{2} - 3 x - 2}{x ^{2} - 4}

slope of y=-6/7 x slope

y = - \frac{6}{7} x

intercepts of f(x)=(x^2+8x-9)/(x^2+3x-4)intercepts

f (x) = \frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4}

inverse of x^3-5 inverse

x^{3} - 5

domain of sqrt((x-6)/(2x^2-5x+3))domain

\frac{x - 6}{2 x ^{2} - 5 x + 3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x(75-3x) ?
The extreme f(x)=x(75-3x) is Maximum(25/2 , 1875/4)