IIT-JEE · Class 12 · Mathematics

Application of Derivatives

Application of Derivatives

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Tangent and Normal

  • tangent and normal at a point on a curve
  • tangent and normal from an external point
  • condition for a line to be tangent or normal to a curve

Angle between Curves

  • angle between curves
  • orthogonal intersection of curves

Related Lengths

  • tangent normal subtangent and subnormal
  • applications of tangent and normal

Rate and Approximation

  • derivative as a rate measure
  • approximation using derivatives

Mean Value Theorems

  • Rolle's theorem
  • graphical interpretation
  • application and selection of function
  • Lagrange's mean value theorem
  • Cauchy's mean value theorem

The session

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You

“Sir, I don’t understand why we used this equation here.”

Sir

“Let’s go back one step. Look at what’s rotating.”

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14 subtopics
The whole chapter: all five parts listed above.
Taught live, not recorded.

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