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Last updated at April 13, 2021 by Teachoo
Transcript
Misc 4 Differentiate ๐ค.๐.๐ก. ๐ฅ the function, ใ๐ ๐๐ใ^(โ1) (๐ฅ โ๐ฅ), 0 โค ๐ฅ โค 1 Let ๐ฆ=ใ๐ ๐๐ใ^(โ1) (๐ฅ โ๐ฅ) ๐ฆ=ใ๐ ๐๐ใ^(โ1) (๐ฅ . ๐ฅ^(1/2)) ๐ฆ=ใ๐ ๐๐ใ^(โ1) (๐ฅ^(1 + 1/2)) ๐=ใ๐๐๐ใ^(โ๐) (๐^( ๐/๐) ) Differentiating ๐ค.๐.๐ก. ๐ฅ ๐๐ฆ/๐๐ฅ = ๐(ใ๐ ๐๐ใ^(โ1) (๐ฅ^( 3/2)))/๐๐ฅ ๐๐ฆ/๐๐ฅ = 1/โ(1 โ (๐ฅ^(3/2) )^2 ) ร (๐(๐ฅ)^(3/2))/๐๐ฅ ("As " ๐(ใ๐ ๐๐ใ^(โ1)โก๐ฅ )/๐๐ฅ=1/โ(1 โ ๐ฅ^2 )) ๐๐ฆ/๐๐ฅ = 1/โ(1 โ ๐ฅ^3 ) ร 3/2 (๐ฅ)^(3/2 โ1) = 1/โ(1 โ ๐ฅ^3 ) ร 3/2 ใ๐ฅ ใ^(1/2 ) = 1/โ(1 โ ๐ฅ^3 ) ร 3/2 โ๐ฅ = ๐/๐ โ(๐/(๐ โ๐^๐ ))
Finding derivative of Inverse trigonometric functions
Example 26 Important
Example 27
Derivative of cot-1 x (cot inverse x)
Derivative of sec-1 x (Sec inverse x)
Derivative of cosec-1 x (Cosec inverse x)
Ex 5.3, 14
Ex 5.3, 9 Important
Ex 5.3, 13 Important
Ex 5.3, 12 Important
Ex 5.3, 11 Important
Ex 5.3, 10 Important
Ex 5.3, 15 Important
Misc 5 Important
Misc 4 You are here
Misc 13 Important
Finding derivative of Inverse trigonometric functions
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