The equation for the line tangent to the curve at the given point.
Answer to Problem 27E
The required equation is
Explanation of Solution
Given information:
The curve:
The point:
Formula used:
Differentiation formula:
Calculation:
The curve is
And, the point is
Substitute 1 for x in the given curve.
So, the point through which the tangent line passes is
To find the slope of the tangent line to the given curve, differentiate the above curve.
Use the differentiation formula
Simplify the expression.
Substitute 1 for x in the above derivative.
Thus, the slope of the tangent line is
Now, to find the equation of the tangent line use the point-slope form of an equation of a line
Substitute 1 for
Hence, the required equation is
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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