c) Secant Line: Graph a secant line between point (a,f(a)) and (a+h, f(a+h))
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表达式13:
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表达式14: "m" left parenthesis, "x" , right parenthesis equals StartFraction, "f" left parenthesis, "a" , right parenthesis minus "f" left parenthesis, "a" plus "h" , right parenthesis Over "h" , EndFractionmx=fa−fa+hh
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d) Derivative Function: Create a function which is the derivative of f(x). Call it g(x) (Desmos won't let us us f'(x))
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表达式17: "g" left parenthesis, "x" , right parenthesis equals .4 "x" Superscript, negative .6 , Baseline plus .2 5gx=.4x−.6+.25
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e) Tangent Line: Using f(x) and g(x), create and graph en equation for a line that is tangent to f(x) at x=a. Limit it's domain to 1 unit on either side of "a".
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f) Difference Quotient Function: Graph the difference quotient function.
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g) Get Values: Get values of g(a) and s(a) and the error between the two in percentage