Hey I need some help with the following problems:

Find (f^-1)'(a):

1. f(x)= 2x^3 + 3x^2 + 7x + 4, a=4

2. f(x)= x^3 + 3sinx + 2cosx, a=2

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- January 23rd 2008, 05:41 PMluckeyduckHelp with finding the derivative of inverse functions
Hey I need some help with the following problems:

Find (f^-1)'(a):

1. f(x)= 2x^3 + 3x^2 + 7x + 4, a=4

2. f(x)= x^3 + 3sinx + 2cosx, a=2 - January 23rd 2008, 06:43 PMJaneBennet
If , then . Find

*b*from the given*a*.

Now use this rule: If , . Hence .

For example, for (1): (the quadratic has no real roots). So

Similarly for (2). . By inspection, is a solution. Hence .