John Wallis also invented a method of finding the tangent line, which we describe as follows: Given a graph y = f(x) passing through the point (h, k), the tangent line y = mx +b has the property that: • It passes through the point (h, k), . It is either below the curve for all other x values, or above the curve. Use this approach to find the tangent to the curve y = x² at the point where x = a.
John Wallis also invented a method of finding the tangent line, which we describe as follows: Given a graph y = f(x) passing through the point (h, k), the tangent line y = mx +b has the property that: • It passes through the point (h, k), . It is either below the curve for all other x values, or above the curve. Use this approach to find the tangent to the curve y = x² at the point where x = a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:John Wallis also invented a method of finding the tangent line, which we describe as follows: Given a graph \( y = f(x) \) passing through the point \( (h, k) \), the tangent line \( y = mx + b \) has the property that:
- It passes through the point \( (h, k) \),
- It is either below the curve for all other \( x \) values, or above the curve.
Use this approach to find the tangent to the curve \( y = x^2 \) at the point where \( x = a \).
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