mat 210

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]

x2y − y2 = 8; 

dydx 

Find the indicated derivative using implicit differentiation. HINT [See Example 1.]

xey − yex = 5; 

dydx 

Find the exact location of all the relative and absolute extrema of the function. HINT [See Example 1.]

g(t) = 

14t4 − 23t3 + 12t2 with domain (−∞, +∞)g has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at 

(t, y) = 

  .

Find the exact location of all the relative and absolute extrema of the function. HINT [See Example 1.]

g(t) = et − t with domain [−1, 1]

g has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at 

(t, y) = 

  .g has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at 

(t, y) = 

  .g has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at 

(t, y) = 

  .