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(a)
The function is and the point is .
Apply derivative on each side with respect to .
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Slope of the tangent line is the derivative of the function at .
Substitute in the derivative function.
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Slope of the tangent line to the curve at the point is .
Find the tangent line.
Point-slope form of line equation : .
Substitute and in point-slope form.
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The tangent line is .
(b)
Graph:
Graph the function and tangent line passing through the point .
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(c)
Graph:
Graph the derivative field .
Graph the function and tangent line passing through the point using derivative feature.
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(a) The tangent line equation is .
(b) Graph the function and tangent line passing through the point .
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(c)
Graph the derivative field .
Graph the function and tangent line passing through the point using derivative feature.
.
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