how to find circle of curvature centre point

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For this question I am asked to find the radius and centre-point of the circle of curvature for the following function:

$−7.87e^{2.65x}$

I calculate the radius correctly with the formula: $R =\frac{1}{ρ}$ which is:

R = 0.9838228573 working out for radius

However, when it comes to finding the centre-point I have been getting it wrong every time.

I use this formula I found online to do so:

$x+R\times\frac{dy}{dx}, y+R$

does anyone know another method I could use to find the centrepoint ?

I have seen vector variations which come to the right answer but I dont understand them very much :/ Thank you all ! for any help it is appreciated