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Find the local maximum, local minimum, a...

Find the local maximum, local minimum, absolute maximum and absolute minimum values, if any, using first or second derivative test of the function f defined by :
`f(x)=x^5-5x^4+5x^3-10`

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Without using derivative, find the maximum value and the minimum value...

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  2. Find the local maximum, local minimum, absolute maximum and absolute m...

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  3. Find the local maximum, local minimum, absolute maximum and absolute m...

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  4. Find the local maximum, local minimum, absolute maximum and absolute m...

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  5. Show that f(x)=x^3-6x^2+24x+4 has neither maxima nor minima.

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  6. Find from the Definition of Derivative: f'(pi/4) where f(x)=secx

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  7. Find the derivatives of the followings from the 1^(st) principle. x^2+...

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  8. Find the derivatives of the followings from the 1^(st) principle. x/(1...

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  9. Find the derivatives of the followings from the 1^(st) principle. cos^...

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  10. Examine the differentiability at x=0 and x=1: f(x)={(-x, xlt0),(x^2, 0...

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  11. Examine the differentiability at x=0,1,2 if: f(X)={(4-x, xle0),(5x+4, ...

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  12. Find the sum 1+2x+3x^2+…..+nx^(n-1) from the relation 1+x+x^2+x^3+…..+...

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  13. Prove that the derivative of an even function is an odd function an...

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  14. Find dy/dx if y=(x^2+2x+3)^5

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  15. Find dy/dx if y=1/(sqrt(a^2+x^2)

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  16. Find dy/dx if y=x^4sin3x

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  17. Find dy/dx if y=(1-cosx)/(1+cosx)

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  18. y=(sin x+cos x)/(sin x-cos x)

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  19. Find dy/dx if y=sin^3x+cos^6x

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  20. Find dy/dx if y=secsqrt(2x+3)

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