4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1) ¹ (1 - 1)³

13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions where needed.)

Select one: O a. O b. O C O d. O e. dy dx Find the derivative for the function f(x) = cosx - 2ex dy dx dy dx dy dx = sinx – 2e* = -sinx - 2e* dy dx −sinx – 2xe*-1 = sinx . 2ex-1 = –sinx – 2xex

a cos(x²)esin(z²) da -ут 10. TT

3. Find the derivative of y = sin² 3x two different ways, v a. Use the product rule. b. Use a power reducing identity, then calculate the derivative. Show 3a and 3b are equal. Your work must be specific and complete.