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The slope of the tangent to the curve y=...

The slope of the tangent to the curve `y=x^3` inclined at an angle `60^@` to x-axis is .....

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. A rectangle sheet of tin with adjacent sides 45 cm and 24 cm is to be ...

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  2. An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to b...

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  3. The slope of the tangent to the curve y=x^3 inclined at an angle 60^@ ...

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  4. Consider the function y^2=4x+5 Find a point on the curve at which the ...

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  5. Find the approximate value of sqrt0.037.

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  6. Consider the function f(x)=x^2 in [-2,1] Find the local maximum or min...

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  7. Consider the function f(x)=x^2 in [-2,1] Find the absolute maximum and...

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  8. Of all the cylinders with given surface area, show that the volume is ...

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  9. Sand is pouring from a pipe at the rate of 12 cm^3 / s. The falling sa...

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  10. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

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  11. Two equal sides of an isosceles triangle with fixed base 'a' are decre...

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  12. Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

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  13. Consider the function f(x)=(x+1)^3(x-3)^3 Find critical points of f(x)...

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  14. Find the intervals in which the function f(x)=(x+1)^3(x-3)^3 strictly ...

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  15. Find the point on the curve y=x^3-11x+5 at which the tangent is y=x-11

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  16. Prove that the volume of the largest cone that can be inscribed in a s...

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  17. A ladder 5m long is leaning against a wall. The bottom of the ladder i...

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  18. An open box is made by removing squares of equal size from the corners...

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  19. An open box is made by removing squares of equal size from the corners...

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  20. What is the slope of the tangent and normal at (1,1) on the curve y=x^...

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