Here is a set of practice problems to accompany the chain rule section of the derivatives chapter of the notes for paul dawkins calculus i course at lamar university. In applying the chain rule think of the opposite function f g as having an inside and an outside part.
Derivatives Bingo Quotient Rule Product Rule Power Rule
The chain rule needs to be explored with practice so get to work on it right now.
Derivative chain rule practice worksheet. Problems may contain constants a b and c. Let inside outside. 1 f x 3×5 f x 15×4 2 f x.
General power rule a special case of the chain rule. Rules practice with tables and derivative rules in symbolic form. Find thre d ei jvativ e of eacl h ifiu111ctio1d.
Practice additional practice covering this section. G 3 3a clul o 2rli hgih it ls 5 4r de4s yevrtvmeodm l d zmlaedme4 lwbibtqh 4 hihnxfnipn1intuek nc uaslvcunl eu isq p worksheet by kuta software llc kuta software infinite calculus name differentiation trigonometric functions date period. Product quotient rules practice using these rules.
10 31 2011 4 42 43 pm. Y c ca9l5l w ur yimgh1tts y mr6e os5evr3vkejdw i d 2mvatdte i nw5intkhz oi5n 1ffivnnivtvev 4c 3atlyc ru2l wu7s1 2 worksheet by kuta software llc 3 answers to chain rule practice 1 dy dx x x x x 2 dy dx. Find the derivative of each function given below.
03 chain rule with trig author. Practice quiz on chain rule and trig derivatives author. H z omxabdje g ewriztah l vijn qfei1nmi2tle a tc 7a7l qc guhlrups 9.
T m2g0j1f3 f xktuvt3a n is po qf2t9woarrte m hlnl4cf. Definition of the derivative instantaneous rates of change power constant and sum rules higher order derivatives product rule quotient rule chain rule differentiation rules with tables chain rule with trig chain rule with inverse trig chain rule with natural logarithms and exponentials chain rule with other base logs and exponentials. B worksheet by kuta software llc kuta software infinite calculus name differentiation chain rule date period.
Base e derivation of e using derivatives. Chapter 3 rules for differentiation. V g2r0q1 h3o pk nu atea 9 zsvogfutqw5a 5r xe v rl xlpcw 8 y hanlql0 vr lijgwh3t qso drre8s 5e yrjv setdr.
Derivatives of trig functions and chain rule. There is nothing better than working a few examples. Worksheet by kuta software llc calculus derivatives sum power product quotient chain rules name f o2 0x1c7j ik ubtia ysbotfktdw agr eg leldcz o h aeldlp rrriiglhetgs vrbe seexrwvbewdf 1 differentiate each function with respect to x.
If where u is a differentiable function of x and n is a rational number then examples. It shouldn t take you long to work power rule problems of all types. Chain rule practice using this rule.
Practice quiz derivatives of trig functions and chain rule.
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