Transcription of 03 - Power, Constant, and Sum Rules
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03 - Power, Constant, and Sum Rules
D M2L0T1g3Y bKbu6tear hSBo0futTwjaZrTeA s VARlilZ OrciVgyh5tXst L EMVaodNeG lwxictDhI AIcnafoi0nliqtxec by Kuta Software LLCKuta Software - Infinite CalculusName_____ Period____Date_____Differentiation - power , Constant, and Sum Rules Differentiate each function with respect to ) y = 52) f( x) = 5 x183) y = 4 x5 + x4) f( x) = 4 x4 5 x 35) y = 3 x 546) y = 54 x 237) y = 4 x 58) y = 3 x39) y = x 2310) f( x) = 24 x -1- q b2b081L3S cKNuitpax uSWoffitiwHaPrYez 4 QAnl0lK BrOipgohutwsX e tMdaZdSeI CwgiZtlhw NImntfdiMnoiQtweA by Kuta Software LLC 11) y = 23 x4 + 5 x x 312) y = 12 x4 + 3 x 53 + 2 xDifferentiate each function with respect to the given ) y = 3 r5 5 r214) f( s) = 3 s2 4 s415) f( x) = 23 x 32 34 x 3516) h( s) = 2 3 s + 2 5 s Differentiate each function with respect to x.
Differentiation - Power, Constant, and Sum Rules Date_____ Period____ Differentiate each function with respect to x. 1) y = 5 dy dx = 0 2) f (x) = 5x18 f '(x) = 90 x17 3) y = 4x5 + x dy dx = 20 x4 + 1 4) f (x) = 4x4 − 5x − 3 f '(x) = 16 x3 − 5 5) y = 3x 5 4 dy dx = 15 x 1 4 4 6) y = 5 4 x 2 3 dy dx = 5 6 x − 1 3 = 5 6x 1 3 7) y = −4x ...
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