DIFFERENTIATION

BITSAT 2015 Guidance › Calculus questions › DIFFERENTIATION

BY FIRST PRINCIPAL PLZ>.........

cos^-x²

cos^-(e^âˆštanx)

#Mathematics #Calculus

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6 Answers

1

skygirl ·2009-01-21 08:59:14

eeeeeeeeeeeeeeeeeeee

used to do it...

bachpan me [3]

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62

Lokesh Verma ·2009-01-21 09:02:02

cos^-1x²

lim (cos^-1(x+h)² - cos^-1x²)/h
h->0

Apply some small tricks... that is all!

Similar for others... might seem that i have said the obvious.. but sometimes you have to do the obvious ;)

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62

Lokesh Verma ·2009-01-21 09:04:52

may be trick is not as appropriate a word as manipulation wud have been ;)

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skygirl ·2009-01-21 09:12:20

hey i got something!!

lim (cos^-1(x+h)^2 - cos^-1x^2)/h
h->0

take cos^-1x² = t => x² =cost

again, cos^-1(x+h)² = (t+Î”t)

now,

cos^-1(x+h)² - cos^-1x² = Î”t

and, h = √cox(t+Î”t) - √cost

now apply nishant bhaiya's formula ...

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RAY ·2009-01-21 09:27:24

uum......d answers flyin in a jet plane........

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RAY ·2009-01-21 09:27:42

hey sky....how iwll u add it to nish bros answer???

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