1001_2.2_Lab_5

1001_2.2_Lab_5 - c. Find the equation of the tangent line...

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CALCULUS 1 LAB 5 NAME: ___________________PARTNER: _________________ 2.2 Definition of a Derivative GSA:______________________Lab Time: ____________ Definition of a Derivative : let y =f (x) be a differentiable function, then the derivative is defined by " f ( x ) = lim h # 0 f ( x + h ) $ f ( x ) h = lim % x # 0 y ( x + % x ) $ y ( x ) % x = lim % x # 0 % y % x = dy dx ; h = % x 1. Given 2 2 ) ( x x f = . a. Write the general definition of the derivative for f (x) . b. Find " f ( x ) by using the definition of derivative.
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Unformatted text preview: c. Find the equation of the tangent line to the graph of f (x) at x = 2 in y = mx + b form. 2. Find dy dx by using the definition of a derivative where y = 1 x + 1 , then find the equation of the tangent line at x = 3 . 3. Let x x f = ) ( . Using only the definition of a derivative, evaluate dy dx x = c for any c > 0....
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