Derivative of atan(x/3)

Derivative of atan(x/3)

Answer

(1/3)*((1/9)*x^2+1)^(-1)

Rule Used

Quotient Rule

Steps

1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
2. Differentiate numerator and denominator, then combine.
3. Final answer: (1/3)*((1/9)*x^2+1)^(-1)

Derivative of atan(x/3) = (1/3)*((1/9)*x^2+1)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-atanx-minus-over-minus-3