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The distance between the origin and the ...

The distance between the origin and the normal to the curve `y = e^(2x) + x^(2)` at x = 0 is

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The radius of a balloon is increasing at the rate of 10cm/sec. At what...

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  2. Find the equation of the tangent to the curve (1+x^2)y=2-x where it cr...

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  3. The distance between the origin and the normal to the curve y = e^(2x)...

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  4. Choose the correct answer from the bracket The slope of the normal to ...

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  5. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  6. A manufacture can sell x items at a price of Rs.(5-x/100) each. The co...

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  7. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  8. A ball is thrown vertically upwards which satisfies the equation S=80t...

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  9. Show that the function given by f(x)=3x+17 is strictly increasing on R...

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  10. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

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  11. Find the equation of tangents and normals to the given curves y=x^3 at...

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  12. Choose the correct answer from the bracket The slope of the normal to ...

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  13. Use differentials to find the approximate value of (0.009)^(1/3) up to...

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  14. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find f'(x).

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  15. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find points of ...

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  16. Consider the curve 2y=3-x^2 Find the slope of the tangent to this curv...

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  17. Consider the curve 2y=3-x^2 Find the points on the curve at which tang...

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  18. Consider the curves x=y^2 and xy=k Differentiate both the equations wi...

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  19. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  20. The total profit y (in rupee) of a drug company from the manufacture a...

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