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Math Help - How to differentiate these using first principles?

  1. #1
    Junior Member silvercats's Avatar
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    How to differentiate these using first principles?

    I know how to differentiate Sin x and Cos x using first principles.But how to do that to cosec x and sec x?
    Thanks
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  2. #2
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    e^(i*pi)'s Avatar
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    \sec(x+h) = \dfrac{1}{\cos(x+h)}

    So you'd have

     f'(x) = \lim_{h \to 0} \dfrac{\dfrac{1}{\cos(x+h)} - \dfrac{1}{\cos(x)}}{h}
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