Concept explainers
The equation for the line tangent to the curve at the given point.
Answer to Problem 28E
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
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
Thus, the slope of the tangent line is 2.
Now, to find the equation of the tangent line use the point-slope form of an equation of a line
Substitute
Hence, the required equation is
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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