1 Answer
Solution :-
\( f'(x)=\lim\limits_{h \to 0}\dfrac{f(x+h)-f(x)}{h} \)
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\( \lim\limits_{h \to 0} \dfrac{1}{2h}[cos\dfrac{4x+2h}{2}.sin\dfrac{2h}{2}] \)
\(\lim\limits_{h \to 0} \dfrac{1}{2h}[cos(2x+h)sinh]\)
\( \lim\limits_{h \to 0}[cos(2x+h). \lim\limits_{h \to 0}\dfrac{sinh}{h}\)
\( cos(2x+h).1\)
= cos2x
Answered by Pragya Singh | 1 year ago