Example 39

If the velocity of a body moving on a line is a given as v² = Ses, prove that its acceleration is

Solution : v² = ses Differentiating w. r. to 's'

Example 40

The position of a particle is given by [ s (t) ]² = at² - 2bt + c. Prove that acceleration varies inversely as 's³'

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Index

5.1 Tangent And Normal Lines
5.2 Angle Between Two Curves
5.3 Interpretation Of The Sign Of The Derivative
5.4 Locality Increasing Or Decreasing Functions 5.5 Critical Points
5.6 Turning Points
5.7 Extreme Value Theorem
5.8 The Mean-value Theorem
5.9 First Derivative Test For Local Extrema
5.10 Second Derivative Test For Local Extrema
5.11 Stationary Points
5.12 Concavity And Points Of Inflection
5.13 Rate Measure (distance, Velocity And Acceleration)
5.14 Related Rates
5.15 Differentials : Errors And Approximation

Chapter 6