Chain Rule - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section 2.4A LT: Use the Chain Rule to Find a Derivative e Use when applying a differentiation rule to something other than the variable that I’m differentiating with respect to. dy. . o ee [sin x]: no chain rule nor : : @ oe [sin 3x]: chain rule (not just x anymore) @ Chain rule... dy dy a& dx qu dx Or... d * pee} , Gz (g@))] = £(G@): 9'@) Examples 1) Find f (x) & f ’’(x) for the following function... dat f@) = Gx +0)" aa £24 ss C's 24x ena” Rees. B chalw "Gs Axe BPAY Cor) + (ata Ost) (Care 2 TOE + we) 2) Find f (x) for the following function... IOO= ey aR—1 esi (Cone =) EQ) = =I Ottax-1) (axed) Uxt% 'Oos —- SS oP Geeaxene 3) Find g ’fx) for the following function... SX g(x) = V9 = 4x ofr) = (4 - “) FH= 54-4D *Cuy 4%) z= = Hun) 1/1