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Let f(x) be differentiable function and ...

Let `f(x)` be differentiable function and `g(x)` be twice differentiable function. Zeros of `f(x),g^(prime)(x)` be a,b respectively, `(a

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CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION
  1. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

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  2. Find the approximate change in the volume V of a cube of side x meters...

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  3. Discuss the applicability of Rolles theorem for the following funct...

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  4. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

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  5. Show that between any two roots of e^(-x)-cosx=0, there exists at leas...

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  6. How many roots of the equation (x-1)(x-2)(x-3) + (x-1)(x-2)(x-4) + (x-...

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  7. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

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  8. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  9. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  10. Let P(x) be a polynomial with real coefficients, Let a , b in R ,a < ...

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  11. The fucntion f(x)=x^(3)-6ax^(2)+5x satisfies the conditions of Lagrang...

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  12. If f : [ 5, 5] Ris a differentiable function and if f^(prime)(x)does ...

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  13. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  14. Let f:[2,7]vec[0,oo) be a continuous and differentiable function. Then...

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  15. Let f(x)a n dg(x) be differentiable function in (a , b), continuous at...

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  16. Using Lagranges mean value theorem, prove that |cosa-cosb|<|a-b|dot

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  17. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

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  18. Prove that 1/28 lt (28) ^(1//3)-3lt 1/27

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  19. Let f(x)a n dg(x) be two differentiable functions in Ra n df(2)=8,g(2)...

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  20. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

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