what is the value of (d/dx)[f^(-1) (x) ] when x=-2 given that f(x)=x^3+x.
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Originally Posted by gracy what is the value of (d/dx)[f^(-1) (x) ] when x=-2 given that f(x)=x^3+x. First of all f(x) is an increasing function of x so the inverse function exists on Let , then . Hence: but , so: . So finally: . RonL
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