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'-. ITJilll. E n 17 ;-.u: I . F'l-cl: lsn' - College of Arts and Sciences Education Mathematics and Science Discipline Tm Universily of Mindanao

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'-. ITJilll. E n 17 ;-.u: I . F'l-cl: lsn' - College of Arts and Sciences Education Mathematics and Science Discipline Tm Universily of Mindanao Third Examination (Calculus 1) I. Problem Solving. Show your CLEAR and COMPLETE SOLUTION to the following problems. 1. Solve for the slope and the equation of tangent line to the function f(x) = V2x 3 at x = 2 using four-step limiting process mT = fix) = 1- f(x+h)-f(x) 1m 1140 h equation of the tangent line y yo = m(x x0) using desmos (free graph software) . , and sketch the graph of the given function and the f (x+h)*f (X) h 2. Using the four-step limiting process f '(x) = L136 . solve for the derivative of f (x) = Vx 4. 2x 3x2+1' 3. Using the quotient rule, solve for the derivative of y = Simplify your answer. 4. Using the product rule, solve for the derivative of f(x) = (x 2)(x + 3)

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