To calculate: The x and y -intercepts of the line that is tangent to the curve at the point
Answer to Problem 40E
The required x -intercept is
Explanation of Solution
Given information:
The curve:
Formula used:
Power rule:
Calculation:
The given curve is
Differentiate the given curve.
Substitute
Thus, the slope of the line is 12.
Now, substitute
To find the x -intercept, substitute 0 for y in the above equation.
To find the y -intercept, substitute 0 for x in the above equation.
Hence, the required x -intercept is
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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