Calc

Find the derivative of the function.

f(x) = arctan (x/a)

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asked by Erica
  1. Use implicit differentiation:

    y=arctan(x/a)
    tan(y)=x/a
    sec²(y)*dy/dx = 1/a
    dy/dx = (1/a)/sec²(x)
    =(1/a)/(1+tan²(x))
    =(a/a²)/(1+(x/a)²)
    =a/(a²+x²)

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