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f(x)=x^(4)-6x^(2) find f'(x)....

`f(x)=x^(4)-6x^(2)` find `f'(x)`.

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The correct Answer is:
`(-1)^(4)-6(-1)^(2)=1-6=-5`
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Find the slope at x=2 for y=x^(4)-4x^(3)

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  2. Find the slope at x=2 f(x)=2x^(3)+5x^(2)-4x

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  3. f(x)=x^(4)-6x^(2) find f'(x).

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  4. f(theta) =sin 2 theta in (0, pi)

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  5. y=12x^(2)-2x^(3)-x^(4)

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  6. The top and bottom margins of a poster are each 6 cms and the side mar...

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  7. Show that the volume of the largest right circular cone that can be i...

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  8. A closed box (cuboid) with a square base is to have a volume 2000c.c, ...

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  9. Find the numbers whose sum is 100 and whose product is maximum.

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  10. Find two positive numbers whose product is 100 and whose sum is minimu...

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  11. The gradient of the curve y=-2x^(3)+3x+5 at x=2 is ………..

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  12. The rate of change of area A of a circle of radius r is ………….

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  13. A spherical snowball is melting in such a way that its volume is decre...

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  14. The parametric equations of the curve x^(2//3)+y^(2//3)=a^(2//3) are …...

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  15. If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle t...

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  16. What is the surface area of a sphere when the volume is increasing at ...

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  17. For what values of x is the rate of increase of x^(3)-2x^(2)+3x+8 is t...

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  18. If the volume of an expanding cube is increasing at the rate of 4 cm^(...

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  19. If a normal makes an angle theta with positive x-axis then the slop of...

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  20. If the velocity of a particle moving along a straight line is directl...

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