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If you two functions which meet at vertex, for example: 1. y=-20cos(0.125664x)+20 {0

If you two functions which meet at vertex, for example:

1. y=-20cos(0.125664x)+20 {0

2. y=0.000495238x^{3}-0.120286x^{2}+9.53619x-238 {50

how to match the derivative at the point x=50, so that the vertex no longer exists and the functions follow the same gradient creating a smooth transition?

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