Calculus Examples

$f (x) = \frac{2 e^{- 2 x} + x^{2} - 3}{x - 1}$

Step 1

Set $\frac{2 e^{- 2 x} + x^{2} - 3}{x - 1}$ equal to $0$ .

$\frac{2 e^{- 2 x} + x^{2} - 3}{x - 1} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Reorder terms.

$\frac{x^{2} + 2 e^{- 2 x} - 3}{x - 1} = 0$

Step 2.2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 0.19627061, 1.71318127$

Step 3