 Inverse Functions      Custom Search   INVERSE FUNCTIONS Theorem 7. The derivative of an inverse function is equal to the reciprocal of the derivative of the direct function. In the equations to this point, x has been the independent variable and y has been the dependent variable. The equations have been in a form such as Suppose that we have a function like and we wish to find the derivative . Notice that if we solve for y in terms of x, using the quadratic formula, we get the more com�plicated function: if we call this function the direct function, then is the inverse function. To determine from the inverse function is easy. EXAMPLE: Find the derivative of the function SOLUTION.The derivative is The reciprocal of is the derivative of the direct function, and we find EXAMPLE: Find the derivative of the function SOL UTION.- Find to be Then PRACTICE PROBLEMS: Find the derivative of the following functions: ANSWERS:  Integrated Publishing, Inc. - A (SDVOSB) Service Disabled Veteran Owned Small Business