# Let p t = 3 t 2 - 4 be the position function, in meters,...

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Math 1341, Van C. Nguyen In-Class Activities § 1.4 – IROC&Derivative Sept 19, 2016 1) Given f ( x ) = p 2 x + 7 x 2 , use the limit definition to find the derivative df dx at x = p 2. 2) Find an equation of the tangent line to the graph of f ( x ) = p 2 x + 5 at the point where x = 2. 3) Determine all the x values where the tangent line to the graph of the function f ( x ) = x 3 - 9 x is horizontal. 1 MQfindfHxHheneva1.atx-2fHxhhenofKhhf4hignorz1xthh7lxthPfrxnxgTE40tndftNdirecttyI.nhjmoKxtrzhtXhx2tl4xhth2-kx-7xT.fignoXlryhtIhknhjm.lrH4xtH-rtl4xd9Tfh.r-f4rI-rztl4rz.sTsf0mmdEtxad9zmitsm.fyu.ntimoH2thhI-heyoET5Eh-nkmozaI.FktIl-henoaht9I.hhiToexs-x.3tnh2hats0tangentlinepassthroughpt.4ftH-12.31eqn.oftangentlineiy-f1a-fYayx-oData-2y-3-ztlx-3hy-t3xttm-hjn.n.lxthk91xtHyx3.qplwkens1ope-oSlopeoftangentline-fYxj-nhjgnoflxthI-flx1h.kmoxXth3t3xhlxhtH-4x-9hTxtT.nhjmo1hlh4yxyt3xhI.ksnolhft3x2t3xtTtD-3XIqhori[email protected]7valuesofxwheretangenth.net 's horizontal
4) Let p ( t ) = 3 t 2 - 4 be the position function, in meters, of an object whose mass is 5kg, at time t seconds. Use