I took notes in class, but am totally stuck now. I need to find the inverse function of f(x)=4x+10x^9 at c= -14
Alternatively, remember that for an inverse, the domain and ranges swap. I.e, the and values swap.
So if then .
You can differentiate the inverse using implicit differentiation.
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It'd be really tough to write the derivative in terms of though, so you don't bother.
If you're trying to evaluate this derivative at then find what equals there, then substitute the value into the derivative.