Yahoo Answers: Answers and Comments for Find (f −1)'(a).
f(x) = sqrt (2x^3 + 4x^2 + 2x + 1), a = 3? [Mathematics]
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From Michael
enCA
Thu, 22 Aug 2019 00:55:26 +0000
3
Yahoo Answers: Answers and Comments for Find (f −1)'(a).
f(x) = sqrt (2x^3 + 4x^2 + 2x + 1), a = 3? [Mathematics]
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From Pope: This one is in the same form as the one you as...
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Thu, 22 Aug 2019 01:14:30 +0000
This one is in the same form as the one you asked nine hours ago, but there is this significant difference.
f(1) = 1
f(0) = 1
This proves that function f is not injective. The function has no inverse, so the question has no answer.

From Alan: Hopefully , you mean derivative of f inverse
...
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Thu, 22 Aug 2019 01:08:54 +0000
Hopefully , you mean derivative of f inverse
where f(x) = sqrt( 2x^3 + 4x^2 + 2x + 1)
let u = 2x^3 + 4x^2 + 2x + 1
du/dx = 6x^2 + 8x + 2
f(u) = u^(1/2) =
f'(u) = (1/2) u^(1/2)
f'(x) = du/dx * df/du = (6x^2 +8x + 2)* (1/2)/ sqrt(2x^3 + 4x^2 + 2x + 1)
f'(a) = (3a^2 + 4a + 1) /sqrt( 2a^3 + 4a^2 + 2a + 1)
f'(x) = df/dx
f_inverse'(x) = dx/df
f_inverse'(a) = sqrt(2a^3 + 4a^2 + 2a + 1)/ (3a^2 + 4a + 1)
but a =3
f_inverse'(3) = sqrt (2*3^3 + 4*3^2 + 2*3 + 1) / (3*3^2 + 4*3 + 1)
f_inverse'(3) = sqrt ( 2*27 + 4*9 + 6 + 1 ) / (27 + 12 + 1)
f_inverse'(3) = sqrt( 54 + 36 +7 ) / 40
f_inverse'(3) = sqrt(97)/ 40
f_inverse'(3) = approx. 0.246221445

From FN  2187: Pie = 3.14; give me best answer plz
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Thu, 22 Aug 2019 01:05:24 +0000
Pie = 3.14; give me best answer plz