What is the critical (5x^2(x-3)(x-5))/(54) ?

The critical (5x^2(x-3)(x-5))/(54) is x\approx 0.00000…,x\approx 1.77525…,x=4.22474…

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critical (5x^2(x-3)(x-5))/(54)

critical points

\frac{5 x ^{2} ( x - 3 ) ( x - 5 )}{54}

x \approx 0.00000 \dots, x \approx 1.77525 \dots, x = 4.22474 \dots

Solution steps

\frac{5 x ^{2} ( x - 3 ) ( x - 5 )}{54}

Find where

f^{'} (x)

is equal to zero or undefined

x \approx 0.00000 \dots, x \approx 1.77525 \dots, x = 4.22474 \dots

Identify critical points not in

f (x)

domain

Domain of

\frac{5 x ^{2} ( x - 3 ) ( x - 5 )}{54} : - \infty < x < \infty

All critical points are in domain

x \approx 0.00000 \dots, x \approx 1.77525 \dots, x = 4.22474 \dots

- x

\frac{4}{( x - 2 ) ^{2}}

f (x) = - x^{4} - 8 x^{3}

\frac{3 x ^{2} + 5 x - 12}{x ^{3} - 3 x ^{2}}

e^{- 0.7 t} \cdot cos (6 π \cdot t)

What is the critical (5x^2(x-3)(x-5))/(54) ?
The critical (5x^2(x-3)(x-5))/(54) is x\approx 0.00000…,x\approx 1.77525…,x=4.22474…