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31 March, 14:16

Rewrite the expression as an algebraic expression in x.

cos (tan-1 x)

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  1. 31 March, 14:44
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    It's hard to type and hard to read the "inverse tangent" function, as you've seen (above).

    So, use "arctan x" instead.

    Then the problem becomes: "differentiate cos (arctan x)."

    You must apply first the rule for differentiating the cosine function, and next apply the rule for differentiating the arctan function:

    (d/dx) cos (arctan x) = - sin (arctan x) * [1 / (1+x^2) ]
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