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Larry Monroe

The Derivative-Equation of tangent line
Jan 01, 10:09:06 PM
?
Given the function f(x) = 324 – 2,5, determine the derivative of f at x = 1 using
the limit shown below. You do not have to simplify your answer.
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Answer: lim
h-0
T
attempt 1 out of 2
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Larry Monroe The Derivative-Equation of tangent line Jan 01, 10:09:06 PM ? Given the-example-1
User Toraritte
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1 Answer

9 votes

Explanation:

Using the limit definition of a derivative, we have


(f(1+h)-f(1))/(h) = ((3(1+h)^(4) - 1^(5)) - (3*1^(4) - 1^(5)))/(h)

User Obabs
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