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Popular >

extreme y=x^3-15x^2+75x+4

Solution

extreme points

y = x^{3} - 15 x^{2} + 75 x + 4

Solution

Saddle (5, 129)

Solution steps

f^{'} (x) = 3 x^{2} - 30 x + 75

Find intervals:

Increasing

: - \infty < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

x^{3} - 15 x^{2} + 75 x + 4 : 129

Saddle (5, 129)

Popular Examples

domain of y=|x|-5 domain

y = ∣ x ∣ - 5

distance (2,-4),(4,1)distance

(2, - 4), (4, 1)

intercepts of f(x)=(x-3)^2(x-4)intercepts

f (x) = (x - 3)^{2} (x - 4)

intercepts of 3(x-3)^2-1 intercepts

3 (x - 3)^{2} - 1

inverse of f(x)=(3x+2)/(4x+3)+7 inverse

f (x) = \frac{3 x + 2}{4 x + 3} + 7

Frequently Asked Questions (FAQ)

What is the extreme y=x^3-15x^2+75x+4 ?
The extreme y=x^3-15x^2+75x+4 is Saddle(5,129)