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Unformatted text preview: 1 =f 1 (g(x))g 1 (x) Derivative Using the Definition: 1.) Let h represent the change in x from x to x+h. 2.) The corresponding change in y=f(x) is f(x+h)-f(x). 3.) Form the difference quotient f(x+h)-f(x) and simplify. h 4.) Find lim f(x+h)-f(x) to determine f 1 (x). h0 h f.y.i.:(x+h) 2 =(x 2 +2xh+h 2 ) Horizontal Tangents: x 2 +x-n=0(xa)(xb)=0 Tangent Line: 1.) Evaluate to find (x,y) 2.) Evaluate the der. of f(x) to find slope(m). 3.) Use y-y 1 =m(x-x 1 ) with point (x,y) and slope(m). Determining Continuity: 1.) f(c) exists 2.) lim f(x) exists xc 3.) #1 = #2...
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This note was uploaded on 04/14/2008 for the course MATH 1316 taught by Professor Sarah during the Spring '07 term at UT Arlington.
- Spring '07
- Power Rule