Find (f −1)'(a).

f(x) = 4 + x2 + tan(πx/2), −1 < x < 1, a = 4

The  solution  is  

Step-by-step explanation:

From the question we are told that

      The  function is   ,     -1 <  x  <  1  a =  4

Here we are told find  

Let equate

So  

For the equation above to be valid x must be equal to 0

  Now when x = 0

=>      

=>  

Differentiating  f(x)

Now

    since

We have

Now  

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent