joyu
joyu joyu
  • 27-08-2020
  • Mathematics
contestada

Find y' if x = cos(y).

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oOTheBigCheeseOo
oOTheBigCheeseOo oOTheBigCheeseOo
  • 27-08-2020

1. Solve for y (complex solution)

y=−iln(x2−1​+x)+2πn1​, n1​∈Z

y=−iln(−x2−1+x)+2πn2​, n2​∈Z

2. Solve for y (Easier)

y=−arccos(x)+2πn1​, n1​∈Z

y=arccos(x)+2πn2​, n2​∈Z, ∣x∣≤1

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