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Statement True/ False: br The product of slope of tangent and normal is -1

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JMD PUBLICATION-Appilications of Derivative-Exercise
  1. Fill in the blanks: The gradient of curve y= x^3 +3x + 2 at x =3 is…….

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  2. Statement True/ False: br The slope of the normal to the curve y = 2x^...

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  3. Statement True/ False: br The product of slope of tangent and normal i...

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  4. Statement True/ False: br If f(x) gt 0 then the function f(x) is said ...

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  5. Find a point on the parabola f(x) = (x - 3)^2, where the tangent is pa...

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  6. Show that the function f(x) = x^3 - 6x^2 +12x +8 is an increasing on R...

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  7. At what points on the curve x^2 + y^2 - 2x -4y +1 = 0 is the tangent p...

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  8. Show that the tangents to the curve y = 2x^3-4 at the points x = 2 and...

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  9. Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.

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  10. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  11. If side of a square is increasing at the rate of 1.5 cm/sec, then the ...

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  12. The radius of a sphere is measured as 9 cm with an error of 0·03 cm, t...

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  13. The side of an equilateral triangle is increasing at the rate of 2 cm/...

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  14. Find the least value of a so that the function f(x) = x^2 + ax + 1 is ...

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  15. Using differentials, find the approximate value of 82^1/4 upto 3 place...

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  16. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  17. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  18. Find the rate of change of the area of a circle with respect to its ra...

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  19. The total revenue in Rupees received from its sale of x units of a pro...

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  20. Show that the height of the cylinder of greatest volume which can be i...

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