Theory of Intelligence
11TH•Mathematics•Functions And Graphs•Exercise 2.1

Theory

Theory

  • The difference quotient:
f(a+h)−f(a)h\frac{f(a+h)-f(a)}{h}
  • Identities used:
sin⁡u−sin⁡v=2cos⁡(u+v2)sin⁡(u−v2)\sin u-\sin v=2\cos\left(\frac{u+v}{2}\right)\sin\left(\frac{u-v}{2}\right) tan⁡α−tan⁡β=sin⁡(α−β)cos⁡αcos⁡β\tan\alpha-\tan\beta=\frac{\sin(\alpha-\beta)}{\cos\alpha\cos\beta}

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