If y=logtan(4π+2x), show that dxdy=secx˙Also find the value of dx2d2yat x=4π

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If {y}={{{{{({}{{4}}+{{x}}{{2}})}}}}}, show that {{{.{d}{y}.}}

Question

If $y = lo g tan (\frac{π}{4} + \frac{x}{2}),$ show that $\frac{d y}{d x} = sec x ˙$ Also find the value of $\frac{d ^{2} y}{d x ^{2}}$ at $x = \frac{π}{4}$

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Henry Discussed

y = lo g tan (\frac{π}{4} + \frac{x}{2}),

show that

\frac{d y}{d x} = sec x ˙

Also find the value of

\frac{d ^{2} y}{d x ^{2}}

x = \frac{π}{4}

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Question Text

y = lo g tan (\frac{π}{4} + \frac{x}{2}),

show that

\frac{d y}{d x} = sec x ˙

Also find the value of

\frac{d ^{2} y}{d x ^{2}}

x = \frac{π}{4}