Tangent - AP Calculus - Lecture Notes, Study notes of Calculus

This lecture is from AP Calculus. Key important points are: Tangent, Integral Equations, Limits, Implicit, Derivative of a Function

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

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Calculus Section 5.4C Use implicit differentiation to find dy/dx. 1) ee +x7-y? = 10 0? (x SE ry) + 2x- w= 0 — * . ye 42x 2 Wako ba, rer ay ry = —LR-Ye = 23. 2 aS > ye? 29 Find an equation of the tangent line to the graph of the function at the given point. he Oe 2) 1+ Inxy = e* ¥;(1,1) \e In x4+iny = ay \ tidy x-9 ay pe OD le x OR =e Ome oy, 188 nee By : Ss = lay x~y dy os —— z= ete xX > ett Be do eI ox 1 x= % ate e°-! a m= as = ZrO l+te Find the second derivative of the function. 3) g(x) = Vx + e*Inx = % oS = +\s xfer) a'(x) = -L .* ee =e), (nx Ce) +e e e\n we | BS") = aaa at { 1/2