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MrOrbit
 3 years ago
Let k(x) = x^5 + 3x 2 and let k^1 denote the inverse of k. Then, find (k^1)'(2)
MrOrbit
 3 years ago
Let k(x) = x^5 + 3x 2 and let k^1 denote the inverse of k. Then, find (k^1)'(2)

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mukushla
 3 years ago
Best ResponseYou've already chosen the best response.2actually in such cases u dont need to find the inverse itself and differentiate it... so what is the formula for the derivative of inverse?

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.2\[(f^{1}(x))'=\frac{1}{f'(f^{1}(x))}\]am i right ?

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.2how about the asker? are u familiar with that formula?

mukushla
 3 years ago
Best ResponseYou've already chosen the best response.2ok i gotta go but here are some hints for u MrOrbit\[(f^{1})'(2)=\frac{1}{f'(f^{1}(2))}\]so all that u need is finding\[f^{1}(2)\]for reaching there note that\[f(1)=2\]
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