To assess your understanding of the indicated learning competencies, perform this learning task. Direction: Use separate sheet of paper for your answers and solutions. Activity 1: Where's My tangent Line? Illustrate the line tangent to the following curves at the given points. 1 . 2. 3-5. Activity 2: What's the equation of tangent line? Find the equation of the tangent line to the following functions at the specified points if it exists. Show complete solution. Formula: a. man = lim [(2)-f(x) x - x1 b. y - y1 = m(x - x1) 6. f(x) = x2 + 1 at the point (0,1) 7. f(x) = x2 - 2x + 1 at the point (2,1) Activity 3: Find My Derivative. Find f'(x) using the definition of the derivative. Show complete solutions. Formula: f (x) = lim [@+h-f(x) Ch-0 h 8. f(x) = 6x +4 9. f(x) = x - 4x+1 Analysis: Express what you have learned in this lesson/activities by answering the questions below. 1. Do all curves have a slope? Explain. 2. How do you think will the tangent line be drawn at the maximum point? At the minimum point? 3. How can you relate the derivative of a function to the slope of the tangent line