Question

Let ( f(x)=7 x^{3}-13 x^{2}-5, x geq 1.5 ). Find the value of ( frac{d f^{-1}}{d x} ) at the point ( x=545=f(5) ) The value of ( frac{mathrm{df}^{-1}}{d x} ) at the point ( x=545=f(5) ) is ( square ) (Type a simplified fraction.)

          Let ( f(x)=7 x^{3}-13 x^{2}-5, x geq 1.5 ). Find the value of ( frac{d f^{-1}}{d x} ) at the point ( x=545=f(5) )

The value of ( frac{mathrm{df}^{-1}}{d x} ) at the point ( x=545=f(5) ) is ( square )
(Type a simplified fraction.)

$Let ( f(x)=7 x^3-13 x^2-5, x geq 1.5 ). Find the value of ( fracd f^-1d x ) at the point ( x=545=f(5) ) The value of ( fracmathrmdf^-1d x ) at the point ( x=545=f(5) ) is ( square ) (Type a simplified fraction.)$

Added by Aws A.

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard… 3rd Edition

Chapter 4

Instant Answer

Solved by Expert Taha T

09/30/2024

Step 1

If $ y = f(x) $, then the derivative of the inverse function $ f^{-1}(x) $ at $ x = a $ is given by: \[ \frac{d f^{-1}}{d x} \bigg|_{x=a} = \frac{1}{f'(f^{-1}(a))} \] Show more…

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