What is the critical f(x)=3x^4-10x^3-12x^2+10x+9 ?

The critical f(x)=3x^4-10x^3-12x^2+10x+9 is x\approx-0.87486…,x\approx 0.31088…,x=3.06397…

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critical f(x)=3x^4-10x^3-12x^2+10x+9

critical points

f (x) = 3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9

x \approx - 0.87486 \dots, x \approx 0.31088 \dots, x = 3.06397 \dots

Solution steps

3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9

Find where

f^{'} (x)

is equal to zero or undefined

x \approx - 0.87486 \dots, x \approx 0.31088 \dots, x = 3.06397 \dots

Identify critical points not in

f (x)

domain

Domain of

3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9 : - \infty < x < \infty

All critical points are in domain

x \approx - 0.87486 \dots, x \approx 0.31088 \dots, x = 3.06397 \dots

f (x) = 4 cos (\frac{1}{3} π x - π) - 3

f (x) = (\frac{1}{2})^{2 x} + 4

f (x) = x - 1 + 6

6 x + 4 y = 3

f (x) = 2 x^{3} + 24 x^{2} + 72 x

What is the critical f(x)=3x^4-10x^3-12x^2+10x+9 ?
The critical f(x)=3x^4-10x^3-12x^2+10x+9 is x\approx-0.87486…,x\approx 0.31088…,x=3.06397…