Lecture Note
The Rules Differentiation
-
University
California State University Course
MATH 150B | Calculus IIPages
1
Academic year
2023
-
Andrew Mathis
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0
p {margin: 0; padding: 0;} Date 1. DIFFERENTIATION The rules ( by y , y = x" y' nxn-1 exact dx ex90 f (G) e.g y=x GIVE YOU THE GRADIENT y'= 8 x' FUNCTION GRADIENT 'm'-at ANY POINT on the curve 2 y constant EXGC y = zero Exqp EXAMPLES (Because y constant I y 5x'+2x is a FOORIZONTAL y'= 15x2+ line wit NO gradient) 2 y=4 constant! X2 3 y=ky gc 4x-2 y :k t 90 y'= -8x-3 -8 (Become g kx' x3 y' : kxlx° = k 3 y Vx3 Ex gt y' 3 X & 2 30X 2
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