mat 210

33baas_ibrahim

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

x²y − y² = 8;

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

xe^y − ye^x = 5;

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

g(t) =

t⁴ −

t³ +

t² with domain (−∞, +∞)

g has at

(t, y) =

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

g(t) = e^t − t with domain [−1, 1]

g has at

(t, y) =

g has at

(t, y) =

g has at

(t, y) =

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