Please help my homework is due tomorrow
Find (f −1)'(a).
1. f(x) = 9 + x2 + tan(πx/2), −1 < x < 1, at a = 9
2. f(x) = \(\displaystyle \sqrt{3x^3\, +\, 3x^2\, +\, 2x\, +\, 1\, }\), at a = 3
I can figure out simpler ones but these are out of my way. thank you so much
the formula is \(\displaystyle \left(f^{-1}\right)'(x)\, =\, \dfrac{1}{f'\left(f^{-1}(x)\right)}\)
Find (f −1)'(a).
1. f(x) = 9 + x2 + tan(πx/2), −1 < x < 1, at a = 9
2. f(x) = \(\displaystyle \sqrt{3x^3\, +\, 3x^2\, +\, 2x\, +\, 1\, }\), at a = 3
I can figure out simpler ones but these are out of my way. thank you so much
the formula is \(\displaystyle \left(f^{-1}\right)'(x)\, =\, \dfrac{1}{f'\left(f^{-1}(x)\right)}\)
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