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RS AGGARWAL-DIFFERENTIATION-Exercise 10D
- Differentiate sin^(-1)(1-2x^2),0ltxlt1 with respect to x
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- sec^(-1)((1)/(sqrt(1-x^(2))))
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- tan^(-1)((x)/(sqrt(1-x)))
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- tan^(-1)((1)/(1+sqrt(1-x^(2))))
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- cot^(-1)((sqrt(1-x^(2)))/(x))
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- Differentiate the following w.r.t. x:sec^(-1)((1)/(1-2x^(2)))
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- sin^(-1){(1)/(sqrt(1+x^(2)))}
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- tan^(- 1)((1+x)/(1-x))=pi/4+tan^(- 1)x , xlt1
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- cos^(-1)((1-x)/(1+x))
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- tan^(-1)((3x-x^(3))/(1-3x^(2)))
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- "cosec"^(-1)((1+x^(2))/(2x))
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- sec^(-1)((1+x^(2))/(1-x^(2)))
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- sin^(-1){(1)/(sqrt(1+x^(2)))}
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- sec^(- 1)((x^2+1)/(x^2-1))
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- cos^(-1)((1-x^(2n))/(1+x^(2n)))
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- d/dx(tan^-1(x/sqrt(a^2-x^2))
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- sin^(-1){2axsqrt(1-a^(2)x^(2))}
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- tan^(- 1)((sqrt(1+a^2x^2)-1)/(a x)) where x!=0, is equal to
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- sin^(-1){(x^(2))/(sqrt(x^(4)+a^(4)))}
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- tan^(-1)((e^(2x)+1)/(e^(2x)-1))
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