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The derivative of sqrt(sqrt(x)+1) is...

The derivative of `sqrt(sqrt(x)+1)` is

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Knowledge Check

  • The derivative of sqrt(e^(sqrt(x))), x gt 0 with respect to x is

    A
    `sqrt(e^(sqrt(x)))`
    B
    `(1)/(sqrt(x))(e^(sqrt(x)))^(3//2)`
    C
    `(1)/(4sqrt(x))sqrt(e^(sqrt(x)))`
    D
    `(1)/(4sqrt(x))(e^(sqrt(x)))^(3//2)`
  • The derivative of sqrt(secsqrt(x)) with respect to x , is :

    A
    `(1)/(4sqrt(x))secsqrt(x)tansqrt(x)`
    B
    `(1)/(4sqrt(x))sqrt(secsqrt(x))sinx`
    C
    `(1)/(4sqrt(sqrt(x)))(secsqrt(x))^(3//2)sinsqrt(x)`
    D
    `(1)/(4sqrt(x))secsqrt(x)sinsqrt(x)`
  • The anti-derivative of (sqrt(x) + (1)/(sqrt(x))) equals

    A
    `(1)/(3)x^(1//3) + 2x^(1//2) + C`
    B
    `(2)/(3)x^(2//3) + (1)/(2)x^(2) + C`
    C
    `(2)/(3)x^(3//2) + 2x^(1//2) + C`
    D
    `(3)/(2)x^(3//2) + (1)/(2)x^(1//2) + C`
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