The derivative of `sin^(-1)((2x)/(1+x^(2)))` with respect to `cos^(-1)((1-x^(2))/(1+x^(2)))` is

`tan^(-1)sqrt((1-x^(2))/(1+x^(2)))` を `cos^(-1)x^(2)` について微分します。

show that (i) sin-1(2x√(1-x^2))=2sin-1 x and (ii) sin-1(2x√(1-x^2))=2cos-1 x

`sin^(-1)((2x)/(1+x^(2)))` を `cos^(-1)((1-x^(2))/(1+x^(2)))` で微分します。

Prove the derivative of sec^(-1) x = 1/(x sqrt(x^2 -1)). Derivatives of Inverse Trig Functions

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Differentiate `sin^(-1)sqrt(1-x^2)` with respect to `cos^(-1)x ,` if `x(0,1)` (ii) `x(-1,0)`

Differentiation and integration important formulas||integration formula

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`cos^(-1)((1-x^(2))/(1+x^(2)))` を `tan^(-1)((3x-x^(3))/(1-3x^(2))).` について微分します。

Derivative of `sin^(-1)x` w.r.t. `cos^(-1) sqrt(1-x^(2))` is -

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Q19 | Differentiate 〖tan〗^(-1)⁡(2x/(1-x^2 )) w. r. t. 〖sin〗^(-1)⁡(2x/(1+x^2 ))

The definition of a derivative