Consider the following function. without finding the inverse, evaluate the derivative of the inverse at the given point. f(x)=ln(8x+e); (1,0)

We can use the inverse function derivative theorem:

In this case, we want to evaluate , so:

The derivative is:

The ordinate of the point is , so we evaluate:

Finally:

We can check the answer by finding the inverse:

so that

Therefore:

Which finally gives the same answer as before:

the k side

step-by-step explanation:

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