Example 21 - Find derivative of f(x) = sin x2 - Examples

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Example 21 Find the derivative of the function given by 𝑓 (𝑥) = sin⁡(𝑥2). Let y= sin⁡(𝑥2) We need to find derivative of 𝑦, 𝑤.𝑟.𝑡.𝑥 i.e. ﷐𝑑𝑦﷮𝑑𝑥﷯ = ﷐𝑑(﷐sin﷮﷐𝑥﷮2﷯)﷯﷮𝑑𝑥﷯ = cos x2 . ﷐𝑑(𝑥2)﷮𝑑𝑥﷯ = cos x2 . ﷐﷐2𝑥﷮2−1﷯﷯ = cos⁡𝑥2 (2𝑥) = 𝟐𝒙 . 𝒄𝒐𝒔⁡𝒙𝟐

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