10/27/19, 7:56 PM Thinkwell | ExercisePage 1 of 1back3 of 12 next Correct! You said A: The correct answer is A: Explanation: backanswer key next If h= 3k2 and k= (3t)2 , then find . dh dt = 972t3 dh dt = 972t3 dh dt To find the derivative, use the chain rule. =⋅ Since

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Unformatted text preview:h= 3 k 2 , = 6 k . Since k= (3t ) 2 , = 2 (3t ) (3) = 18t . Substitute to find .=⋅ = 6 k ⋅ 18t = 108 ktNow subsitute (3 t )2 for k. = 108(3 t ) 2 t = 108 ⋅ 9 t 2 ⋅ t = 972 t 3 dhdt dh dkdk dtdh dk dkdt dhdt dh dtdh dkdk dt dhdt