Channel: Anil Kumar

Category: Education

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Description: Derivative of Inverse Functions: youtube.com/watch?v=OP0I_2L5Aqw&list=PLJ-ma5dJyAqoKK_KLugxDKtJjM7ipHQyv Inverse Trigonometric Functions: youtube.com/watch?v=aY7_e1wYbfY&list=PLJ-ma5dJyAqpObJ5rkt3y3R88WNAj7Qyx #InverseFunctions #InverseDerivatives #Calculus Derivative of Inverse Functions: Inverse function has reciprocal slope at corresponding points. Prove (f^(-1) )'(x)=1/(f^' (f^(-1) (x)) ) Application Verify that f(x) has an inverse. Then use the function f and the given real number a to find (f^(-1) )^' (a) Q1. f(x)=2x^3+4, find (f^(-1) )^' (a),a=20 Q2. f(x)=x^5-x^3+2x (f^(-1) )^' (a),a=2