Derivatives of Exponential and Logarithm Functions: Quiz


Problem 1

Find the equation of the line tangent to y = 2x at x = –0.5.


Answers, problem 1

Using the result of Example 5 on page 81 of the textbook, y' = ln2*2x.

The slope of the line at x = -0.5 therefore, is ln2/(2)1/2 and y(-0.5) = 1/(2)1/2. Using the point-slope form, we arrive at:


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