Chapter 4.3, Problem 21E

1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…

How do I find the derivative using the product rule

Current Attempt in Progress Use the figure below to calculate the derivative, g′ (8) if g(x) = ƒ−¹ (x). (4,8) Enter the exact answer. g' (8) (4.1, 8.4) = f(x)

Find the derivatives of the functions f(x) = tan (x) and g(x) = sec“(x) respectively. What can be said about the difference f-g? Explain. Find the derivatives of the functions f(x) = tan (x) and g(x) = sec (x) respectively. f'(x)= g'(x) =D Enter your answer in the edit fields and then click Check Answer. Clear All part remaining

What is the relationship between the complex differentiability and the existence of the derivative of an analytical function?

How to determine the derivative of f(x).

Help me to solve the problem please

Derivative of: xn+1/ n+1 + C

please show all your work