What is the critical g(x)=In(x-1)+e^{x^2-3}+(x^2-4)^{5/3} ?

The critical g(x)=In(x-1)+e^{x^2-3}+(x^2-4)^{5/3} is (1,(-6-10*3^{2/3}e^2)/(3e^2n))

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critical g(x)=In(x-1)+e^{x^2-3}+(x^2-4)^{5/3}

critical points

g (x) = I n (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

(1, \frac{- 6 - 10 \cdot 3 ^{\frac{2}{3}} e ^{2}}{3 e ^{2} n})

Solution steps

I n (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

Find where

\nabla f (x, I)

is equal to zero or undefined

(1, \frac{- 6 - 10 \cdot 3 ^{\frac{2}{3}} e ^{2}}{3 e ^{2} n})

- (12 x + 6 y^{2} + ln ∣ x + y ∣)

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

- 3 x^{2} - 2 y^{2} + 3 x - 4 y + 5

1 - \frac{7}{x + 7}

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

What is the critical g(x)=In(x-1)+e^{x^2-3}+(x^2-4)^{5/3} ?
The critical g(x)=In(x-1)+e^{x^2-3}+(x^2-4)^{5/3} is (1,(-6-10*3^{2/3}e^2)/(3e^2n))