F(4)=6 f^-1 (6)=4 F'(4)=8 F'(6)=10 compute the derivative of the inverse function F

Question

F(4)=6    f^-1 (6)=4  F'(4)=8 F'(6)=10  compute the derivative of the inverse function F

owlfred · Answer

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amistre64 · Answer

the slope at (4,6) is 8

amistre64 · Answer

cant see it at the moment..

amistre64 · Answer

F(4)=6     F^-1(6)=4 

F'(4)=8      ....
F'(6)=10    ...

amistre64 · Answer

1/8  and 1/10 is what i wanna say

amistre64 · Answer

an inverse flips over the y=x line

anonymous · Answer

I actually just got the same answer

amistre64 · Answer

(dx/dy) = 1/(dx/dy)  is what i thought :)

amistre64 · Answer

well, something like that lol

anonymous · Answer

lol, thanks

amistre64 · Answer

yw :)

amistre64 · Answer

for example:

x^2 derives to  2x;  at(3,9) the slope is 6

inverse it:

sqrt(y) derives to 1/2sqrt(y)  at(9,3) = 1/2sqrt(9) = 1/6

anonymous · Answer

No need to explain it lol. I understand the concept of inverse-ing functions and their derivatives.

anonymous · Answer

Thanks anyways

amistre64 · Answer

that was more for me then :)   enjoy ;)