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Popular >

inflection f(x)=-2x^3+18x^2+49

Solution

inflection points

f (x) = - 2 x^{3} + 18 x^{2} + 49

Solution

(3, 157)

Solution steps

f^{''} (x) = - 12 x + 36

Find intervals:

Concave Upward

: - \infty < x < 3,

Concave Downward

: 3 < x < \infty

Plug

x = 3

into

- 2 x^{3} + 18 x^{2} + 49 : 157

(3, 157)

Popular Examples

extreme f(x)=x^4e^x-8 extreme points

f (x) = x^{4} e^{x} - 8

asymptotes of f(x)=(8x-6)/(x-3)asymptotes

f (x) = \frac{8 x - 6}{x - 3}

domain of-x^3+8x^2-15x domain

- x^{3} + 8 x^{2} - 15 x

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

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

domain of f(x)=-x^4-7x^3-12x^2 domain

f (x) = - x^{4} - 7 x^{3} - 12 x^{2}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-2x^3+18x^2+49 ?
The inflection f(x)=-2x^3+18x^2+49 is (3,157)