Posted by Ben on Wednesday, September 22, 2010 at 11:19am.
Use the power rule,
(xn)' = nxn-1
To find f"(t), repeat the differentiation.
Hint:
4/t³ = 4t-3
Use implicit differentiation to find the slope of the tangent line to the curve
4 x^2 + 2 xy + 1 y^3 = 32
at the point ( -3,2 ).
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