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Popular >

inflection f(x)=3x+(x+2)^{3/5}

Solution

inflection points

f (x) = 3 x + (x + 2)^{\frac{3}{5}}

Solution

(- 2, - 6)

Solution steps

f^{''} (x) = - \frac{6}{25 ( x + 2 ) ^{\frac{7}{5}}}

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < \infty

Plug

x = - 2

into

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

(- 2, - 6)

Popular Examples

line (4,1),(8,2)line

(4, 1), (8, 2)

intercepts of (x^3-16x)/(-3x^2+3x+18)intercepts

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18}

domain of f(x)=((x^2+5x+6))/(x+2)domain

f (x) = \frac{( x ^{2} + 5 x + 6 )}{x + 2}

inverse of (sqrt(x+3))/4 inverse

\frac{x + 3}{4}

perpendicular 4x+7y-9=0,(5,3)perpendicular

4 x + 7 y - 9 = 0, (5, 3)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=3x+(x+2)^{3/5} ?
The inflection f(x)=3x+(x+2)^{3/5} is (-2,-6)