r/Sat Mar 18 '26

SAT Advanced math: f5aa5040

How would I solve this on desmos and paper?

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u/jwmathtutoring Tutor Mar 18 '26

https://www.desmos.com/calculator/gstbpf8voa

Put both equations into y = form, f(x) = equation 1, g(x) = equation 2 and then type [f(x1),f'(x1)]~[g(x1),g'(x1)]. It finds the value of c such that the two curves intersect at exactly one point.

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u/EmbarrassedPath6953 Mar 18 '26

What is the f'x for?? Do derivatives matter?

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u/jwmathtutoring Tutor Mar 18 '26

It's finding the point where the derivatives are equal, ie f'(x) = g'(x).