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Prove that d/(dx)(secx)=secxtanx....

Prove that `d/(dx)(secx)=secxtanx.`

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Knowledge Check

  • d/(dx)(secx) is :

    A
    `tanx`
    B
    `tanx.secx`
    C
    `-cot^(2)x`
    D
    `cosecx`

  • (d)/(dx)((secx+tanx)/(secx-tanx))=

    A
    `(2*cosx)/((1-sinx)^(2))`
    B
    `(cosx)/((1-sinx)^(2))`
    C
    `(2*cosx)/((1-sinx))`
    D
    none of theses

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    Prove that (d)/(dx){(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)(sin^(-1)x)/(a)}=sqrt(a^(2)-x^(2))

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