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प्रश्न
Differentiate the function with respect to x.
`sec(tan (sqrtx))`
उत्तर
Let, y = `sec(tan (sqrtx))`
Differentiating both sides with respect to x,
`dy/dx = d/dx sec [tan (sqrtx)]`
`= sec [tan (sqrtx)] * tan [tan (sqrtx)] d/dx tan sqrtx`
`= sec (tan sqrtx) tan (tan sqrtx) * sec^2 sqrtx * d/dx x^(1//2)`
`= dy/dx = sec [tan (sqrtx)] tan [tan sqrtx] sec^2 sqrtx * 1/(2sqrtx)`
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