Find d/dx sec(x): animated lesson

1. 1. The problem
   Finding a derivative

   $\frac{d}{dx}\left[\sec\left( x\right)\right]$
2. 2. Step by step
   1. $$\frac{d}{dx}\left[\sec\left( x\right)\right] = \sec\left( x\right) \tan\left( x\right)$$
      d/dx[sec x] = sec x tan x
   2. $$f'(x) = \sec\left( x\right) \tan\left( x\right)$$
      Combine and simplify
3. 3. The answer
   $$f'(x) = \sec\left( x\right) \tan\left( x\right)$$

   f'(x) = sec(x)·tan(x)

4. 4. Check
   • ✓Cross-checked numerically against an independent symbolic differentiator at 8 sample points ✓

Differentiate with the power, product, quotient and chain rules, including higher derivatives.

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