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Differentiate the function f(x) = sec (t...

Differentiate the function f(x) = sec `(tan sqrt(x)))` with respect to x,

Text Solution

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Let `y = sec (tan (sqrt(x)))`
`rArr (dy)/(dx)= (d)/(dx) sec (tan (sqrt(x)))`
=` sec(tansqrt(x)). tan (tansqrt(x)).(d)/(dx)(tansqrt(x))`
=` sec(tansqrt(x)). tan (tansqrt(x)).sec^(2) sqrt(x) .(d)/(dx)sqrt(x)`
=` (sec(tansqrt(x)). tan (tansqrt(x)).sec^(2) sqrt(x) )/(2sqrt(x)` .
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