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Let f(x)=xsinpix ,x > 0. Then for all na...

Let `f(x)=xsinpix ,x > 0.` Then for all natural numbers `n ,f^(prime)(x)` vanishes at (A)a unique point in the interval `(n , n+1/2)` (B)a unique point in the interval `(n+1/2, n+1)` (C)a unique point in the interval `(n , n+1)` (D)two points in the interval `(n , n+1)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  3. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

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  5. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

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  6. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...

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  18. Using the first principle, prove that d/(dx)(1/(f(x)))=(-f^(prime)(x))...

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  19. If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...

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  20. Find the derivative of sqrt(4-x) w.r.t. x using the first principle.

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