if y=2, tanx-7secx, find dy/dx.
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ANSWER
Let f(x)=2tanx−7secx
Thus using first principle,
f′=h→0limhf(x+h)−f(x)
= h→0limh1[2tan(x+h)−7sec(x+h)−2tanx+7secx]
= h→0limh1[2{tan(x+h)−tanx}−7{sec(x+h)−secx}]
= 2h→0limh1[tan(x+h)−tanx]−7h→0lim
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