Show work- Derivative rules Monday, March 11, 2024 11:49 PM Solve for r to two decimal places. 4 = e2r (2) Recently, a certain bank offered a 5-year CD that earns 2.13% compounded continuously. Use the given information to answer the questions. (a) If $20,000 is invested in this CD, how much will it be worth in 5 years? Find f'(x). f(x) = 5 Inx +3ex - 2x2 Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 2 +3Inx; X =1 An investment of $9,000 earns interest at an annual rate of 7.5% compounded continuously. Complete parts (A) and (B) below. Derivatives of Exponential and Logarithmic Functions For b > 0, b # 1, - dex=ex deck = cecx, b* = b* Inb For b > 0, b # 1, and x>0, - Inx= x. ax logbx= Inb (x) (A) Find the instantaneous rate of change of the amount in the account after 3 year(s). Find f'(x). f(x) = (9-7x) 10 7 ) Find f' (x). f(x) = (3 + Inx)9 8 Find the derivative of the following function. - 4 y= (4x4 + 5) 2