Find the derivative of tan√x

1.	Find the derivative of tan√x
Answer» Using Chain rule , \(d {tan\sqrt x \over \sqrt x} \times d {\sqrt x \over x}\) Since derivative of \(\tan x = \sec^{2}x\) and \(\sqrt x = {1 \over 2\sqrt x}\) therefore, derivative of \(\tan \sqrt x = \sec^{2}\sqrt x\) Hence , derivative of \(\tan \sqrt x\) is \({\sec^{2} \sqrt x \over 2\sqrt x}\)

Answer»

Using Chain rule ,

\(d {tan\sqrt x \over \sqrt x} \times d {\sqrt x \over x}\)

Since derivative of \(\tan x = \sec^{2}x\) and \(\sqrt x = {1 \over 2\sqrt x}\)

therefore, derivative of \(\tan \sqrt x = \sec^{2}\sqrt x\)

Hence , derivative of \(\tan \sqrt x\) is \({\sec^{2} \sqrt x \over 2\sqrt x}\)

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Find the derivative of tan√x

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