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If y = sec sqrtx then find dy/dx. - Mathematics and Statistics

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Question

If `y = sec sqrtx` then find dy/dx.

Solution

`y = sec sqrtx`

`dy/dx = d/dx(sec sqrtx)`

`dy/dx=secsqrtx tansqrtx d/dx(sqrtx)`

`=sec sqrtx .tan sqrtx.1/(2sqrtx)`

`dy/dx=(secsqrtxtansqrtx)/(2sqrtx)`

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2015-2016 (July)

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