Derivative for inverse function Apply the following formula for the derivative of an inverse function to...
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Derivative for inverse function Apply the following formula for the derivative of an inverse function to compute the given deriative at the given point. Also illustrate the relation graphically. If-lr (b) = 1/f(a) { [FM(-1)]'(b) = 1/f(a) } where { f(a) = b; f^(-1) (b) = a } a) Apply this formula to compute f-1' (b) = 1/f(a) for the following function f(x) f(x) = x-3 + 4 where b = 6. { [FM(-1)]" (6) } where { f(x) = sqrt(x - 3) + 4 } b) Sketch the gaphs of both f(x) and f^(-1) (x) and describe the relation between them. Also include the tangent lines to each (corresponding to part a)) and give the relations between these. (How is this relation used in the formula above?} Derivative for inverse function Apply the following formula for the derivative of an inverse function to compute the given deriative at the given point. Also illustrate the relation graphically. If-lr (b) = 1/f(a) { [FM(-1)]'(b) = 1/f(a) } where { f(a) = b; f^(-1) (b) = a } a) Apply this formula to compute f-1' (b) = 1/f(a) for the following function f(x) f(x) = x-3 + 4 where b = 6. { [FM(-1)]" (6) } where { f(x) = sqrt(x - 3) + 4 } b) Sketch the gaphs of both f(x) and f^(-1) (x) and describe the relation between them. Also include the tangent lines to each (corresponding to part a)) and give the relations between these. (How is this relation used in the formula above?}
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Related Book For
Financial Theory and Corporate Policy
ISBN: 978-0321127211
4th edition
Authors: Thomas E. Copeland, J. Fred Weston, Kuldeep Shastri
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