solve x^2+5x+6 using first principle
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which principle used to solve
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Step-by-step explanation:
Here f(x) = x^2 - 5x +6
f(x +h) = (x+h)^2 - 5(x+h) +6 , applying first principle for getting derivative w.r.t x
f'(x) = Lt h=> 0 {f(x+h) - f(x)}/h
=> Lt h=> { (x+h)^2 - 5(x+h) +6 - x^2 +5x -6}/h
=> Lt h=>0 { x^2 +2xh +h^2 - 5x -5h +6 -x^2 +5x -6}/h
=> Lt h => 0 {h(2x -5)}/h , as h ≠0 {h=>0}, cancelling the h of numerator and denominator, we get
f' (x) = 2x - 5
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