Inverse function problem?
2017-09-12 11:44 pm
Let f(x) = x^{3}+3x^{2}+5, for x> 0. Find f^{-1}'(9) at the point x = 9 = f(1).
回答 (3)
2017-09-12 11:48 pm
✔ 最佳答案
The derivative dx/dy of f^(-1) is 1/(dy/dx) at the corresponding point.It's telling you this is where x = 1 and y = 9 on the original function f(x). So do these steps:
Take the derivative of y = x^3 + 3x^2 + 5 at x = 1.
Take its reciprocal.
2017-09-12 11:47 pm
f(1) = 9, so assuming f inverse exists, f^-1(9) = 1.
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