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(a)
The function is and the point is .
Apply derivative on each side with respect to .
Apply Derivative of the Natural Logarithmic Function: .
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The slope of the tangent line is the derivative of the function at point .
Substitute in .
.
The slope of the tangent line is .
Point-slope form of equation .
Substitute point and slope in the above equation.
The tangent line equation is .
(b)
Graph the function and tangent line is in same viewing window.
(c)
Verify the result using the derivative feature of the graphing utility.
(a) The tangent line is .
(b)
Graph the function and tangent line is in same viewing window.
(c)
Verify the result using the derivative feature of the graphing utility.
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