Find the derivative of the following: 1. Dx (x ) 6. Dx (Inx) 2. Dx (5x2) 7. Dx (3x3 + 4x5) 3. Dx (x7 - 2x4) 8. Dx (40x) 4. Dx (x - 2) (2x + 3) 9. DX () 5. Dx (ex) 10. Dx (+3) Analysis: Express what you have learned in this lesson/ activities by answering the questions below. 1. What is a function differentiable at a point? A function continuous at a point? 2. When can we say that: a) a function is differentiable and continuous at a point? b) a function is differentiable but not continuous at a point? c) a function is continuous but not differentiable at a point? 3. In what way did the differentiation rules help you in solving for the derivative of a function? Assessment: Multiple Choice. Read and analyze each question. If answer is not among the choices, write the correct one. 1. Which of the following statements is CORRECT? A. Continuous functions are not differentiable. B. Continuous functions do not have graphs. C. Continuous functions are differentiable D. Continuous functions have gaps on their graphs 2. Which of the following is true for continuous functions? A. Continuous functions are not differentiable. B. Continuous functions do not have graphs. C. You have to lift your pen once to draw the graph. D. You can draw the graph of a continuous function with one single pen stroke without lifting your pen. 3. What is a derivative? A. the answer B. a mathematical constant C. A slope D. the inverse of a function 4. Is the function given below continuous and differentiable at x = 2? f(x) = 2x2 - x .x's2 (8x - 22 , x>2 A. Continuous but not differentiable C. Both continuous and differentiable B. Differentiable but not continuous D. Neither continuous nor differentiable 5. Is the function given below continuous and differentiable at x = 3? = [ x2 f(x) = 16x - 9 x