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![unlock 35 lakh questionsWhat's your doubt?11thApplied MathematicsStraight linesIntroductionFind the derivative of the ...MathsBookmarkFind the derivative of the following functions from first principlex 2 1 EasyshareShareAnswerLet f(x)= x 2 1 Thus according to first principle,f ′ (x)= h→0lim hf(x+h)−f(x) = h→0lim h(x+h)1 − x 2 1 = h→0lim h1 [ x 2 (x+h) 2 x−(x+h) 2 ]= h→0lim h1 [ x 2 (x+h) 2 x 2 −x 2 −h 2 −2hx ]= h→0lim h1 [ x 2 (x+h) 2 −h 2 −2hx ]= h→0lim [ x 2 (x+h) 2 −h−2x ]= x 2 (x+0) 2 0−2x = x 3 −2](/tpl/images/2414/5721/55300.png)
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First principle of 1 over x+2...
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