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Let y=x^3-8x+7 and x=f(t) if (dy)/(dt)=...

Let `y=x^3-8x+7 and x=f(t) if (dy)/(dt)=2 and x=3 at t = 0,` then find the value of `(dx)/(dt) at t=0.`

Text Solution

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The correct Answer is:
`(2)/(19)`
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Knowledge Check

  • If f(x)= int_(0)^(x)t sin t dt , then f'(x) is

    A
    `cos x +x sin x`
    B
    `x sin x`
    C
    `x cos x`
    D
    `sin x+x cosx`

  • If f(x)= int_(0)^(x)t sin t dt , then f'(x) is

    A
    `cos x +x sin x`
    B
    `x sin x`
    C
    `x cos x`
    D
    `sin x+x cosx`

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