MAT-115 Assignment-6 Name 10p Finding the derivative and finding the equation of the tangent line Finding f'(x) from the Definition of Derivative The four steps used to find the derivative f' (x) for a function y = f(x) are summarized here. 1. Find and simplify f(x + h). 2. Find and simplify f(x + h) - f(x). 3. Find and simplify the quotient f ( x + h ) - f(x ) 4. Find the limit as h approaches 0; f'(x) = lim f ( x + h ) - f ( x ) h , if this limit exists. Part -a. f(x) = 2x2 Find the f (x) using the definition (Use the steps given above and the lesson posted) f (x) = Limno f(xth) - f(x) h Part-b After find in the f (x ) in Part-a a. find f (2) b. find f(2) c. Find the equation of the tangent line at x- 2 ctions: On Focus