1. The problem statement, all variables and given/known data f(x) = x3+ x. Note that f(2) = 10. Find (f-1)`(10). 2. Relevant equations 3. The attempt at a solution Note that where I have written ` it denotes prime (as in the derivative of). - Switch the x and y variables. x= y3 + y - Differentiate implicitly 1= (3y2 + 1)y` - Solve for y`. y`= 1 / (3y2 + 1). Since y = f-1, then y` = (f-1)` Therefore (f-1)` = 1 / (3y2 + 1) Since f(2) = 10, f-1(10)=2. But my equation is(f-1)`, not just f-1!! I don't know what to do after this point!