Jenelle Ramielcha Applications of Derivatives To be handed in Wednesday 6" April, 2022. 1. Find an equation of the tangent line to the graph of y' + y = 3x at the point where x = D find * 2. Chris and Jess had to find 1 " for the function In (x - y) = > . a. Jess applied implicit differentiation to the problem in its original form. What did she get? b. Chris used exponentialion base e to eliminate the natural log, getting x - y = e, and then differentiated implicitly. What was his answer? ?)) at the point ( 1). 5. Find an equation of the tangent line to the graph of y* -3xy +4x =125 at the point in only neg the fourth quadrant where x = 2. 6. The graph of x2 + 6xy+ 25y? =16 is an ellipse. Find the coordinates of the points where 1. find derivative the ellipse has horizontal tangent lines. 2 . Den-affe #3 (oviclineres ) 7. Use logarithmic differentiation to find ~ if: Vx2 - 1exzon* only = 0 outside when numerals y = x3 +x 8. Determine the equation of the line tangent to the function f (x) = [(x + 1)4 + 1]in(x+1) at log its y-intercept . 1 =0 at y-intercept 9. Determine the equation of the line tangent to the curve y = e* (x2 + 1)(mex at x =1. Find yvalue first