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Let f(x) = (2x-pi)^(3)+2x-cos x. If the ...

Let `f(x) = (2x-pi)^(3)+2x-cos x`. If the value of `d/dx (f^(-1)(x))` at `x =pi` can be expressed in the form of p/q (where p and q are natural numbers in their lowest form), then the value of (P+q) is

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CENGAGE-METHODS OF DIFFERETIATION-Question Bank
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  2. Let f(x) = (2x-pi)^(3)+2x-cos x. If the value of d/dx (f^(-1)(x)) at x...

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  3. Let g:R rarr R be given be g(x) = e^(2x)+3x+sinx+1. If g^(-1) is the i...

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  7. y = sqrt(xsqrt(x^(2)sqrt(x^(3)sqrt(x^(4)sqrt(x^(5).....oo))))), then (...

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  8. Let f(x) = (a root (3)(x) + bx)/(root (3)(x^(2))) and f^(')(8)=0 , the...

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  14. If f(x) = 2x^(3)+7x-5 and g(x) = f^(-1)(x), then reciprocal of g^(')(4...

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  16. For the curve represented implicity as 4^(x) -2^(y) =1, the value of l...

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  17. Let y(x) = e^(2 sin^(-1)x), x in [-1,1] an d(-x^(2))y^('')(x) = xy^(')...

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  18. Suppose the function f(x)-f(2x) has the derivative 5 at x =1 and deriv...

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  19. Let h(x) be differentiable for all x and let f(x) = (kx=e^(x)) h(x) wh...

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