a.
To calculate: The equation of the tangent for the given function at the given point.
a.
Answer to Problem 27E
The equation of tangent is
Explanation of Solution
Given information: The function is
Formula used:
Also product, quotient and chain rule of derivatives are used.
Calculation:
The point is
The function is
By differentiating equation (1), we get
Now put the value
Here
The slope point form of the tangent line is:
Hence the equation of tangent is
b.
To calculate: The equation of the tangent for the given function at the given point.
b.
Answer to Problem 27E
The equation of tangent is
Explanation of Solution
Given information: The function is
Formula used:
Slope-point form of line is:
Also product, quotient and chain rule of derivatives are used.
Calculation:
The point is
The function is
By differentiating equation (1),
Now put the value
Here
The slope point form of the tangent line is:
Hence the equation of tangent is
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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