ANSWER THE FOLLOWING WITH SOLUTION

Learning Task 5: In the functions given below, identify if: A. differentiable and continuous B. Continuous but not differentiable C. Neither continuous nor differentiable. 2 1. y = X at x=0 3. y = |x - 20 at x-2 PIVOT 4A CALABARZON 38 2. y=x' +6 at x-2 4. y = 2x +5 at x-1 Learning Task 3: Find the equation of the tangent line to the following curves at a given point 1 y = x - 6x + 9 at x = 2 2. y = Vx+3 at x = 1 3. y = 5x2 - 7 at x = 1 Learning Task 4: Find the derivative of a function at a certain number using the formula f'(x) = lim f(x) - f(xo) x - Xo 1. f(x) = 3x2 - 5x at x = 1 2. f(x) = x2 - 5x + 6 at x = 2 3. f(x ) = Vx +6 at x = 3 Learning Task 5: Find the derivative of the following function using the formu- la. lim f ( x + h)- f(x) 1. f(x) = 3x2 - 10x + 6 2. f(x) = 5x - 7 3. (x) = 10x2 - 16x 4. f(x) = x'-1 5. f(x) = 8x