Consider the function f(x) = ext{Cos}^{-1}(x) + ext{Tan}^{-1}x . Which of the following options below is correct?

Question

Consider the function    f(x) = 	ext{Cos}^{-1}(x) + 	ext{Tan}^{-1}x . Which of the following options below is correct?

Answer

f'(x) = \dfrac{1}{\sqrt{1-x^2}} + \dfrac{1}{1+x^2}

Answer

f'(x) = \dfrac{1}{\sqrt{1+x^2}} + \dfrac{1}{1-x^2}

Answer

f'(x) = \dfrac{1}{\sqrt{1-x^2}} - \dfrac{1}{\sqrt{1+x^2}}

Answer

f'(x) = -\dfrac{1}{\sqrt{1-x^2}} + \dfrac{1}{1+x^2}

Answer

f'(x) = \dfrac{1}{\sqrt{1-x^2}} + \dfrac{1}{\sqrt{1+x^2}}

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