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Fermat's theorem

bccalcclassact2tangents

Subject: 
Calculus
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Tags: 
Differential calculus
derivative
Generalizations of the derivative
Tangent
Differentiable function
Calculus
Fermat's theorem

Name:________________________ Date:________________________ AP Calculus BC Class Activity 2: Derivatives and Tangents Evaluate the following limits using the limit definition of derivative and known shortcuts: Find the equation of the tangents lines to the functions below at the given point: 6. Use the table below to answer the following questions: x -2 1 2 6 f (x) 4 8 9 1 Find the average rate of change over the interval (1, 6). Estimate the instantaneous rate of change at the point x = 1. Find where the following functions are differentiable: 10. Find the values of a and b so that g (x) is continuous and differentiable:
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