Question

If y = x/ sec x ,then find dy/dx

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Answer 1

Answer:

apply the formula of U/V

Answer 2

We have y = ( secx + tanx )

Now differentiate both sides with respect to x

Then dy/dx = d/dx (secx) + d/dx (tanx)

Or, dy/dx = secx . tanx + (secx)^2

Or , dy/dx = secx [ tanx + secx ]

Or, dy/dx = secx [ sinx/cosx + 1/cosx ]

Or, dy/dx = secx [ (sinx + 1 ) / cosx ]

Or, dy/dx = ( 1 + sinx )/ ( cosx ) ^2

Hope you understand.

Thank you

#MR