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Find the equation of tangents and normal...

Find the equation of tangents and normals to the given curves `y=x^3` at `(1,1)`

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2...

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  2. Find the intervals in which the function f(x)=x^2+2x-5 strictly increa...

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

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  4. Find local maximum and local minimum if any for the function. h(x)=sin...

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  5. Find the slope of tangent line to the curve y=x^2-2x+1

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  6. f(x) is a strictly increasing function, if f'(x) is........a)Positive...

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  7. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  8. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

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  9. Find a point at which the tangent to the curve y=(x-2)^2 is parallel t...

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  10. The slope of the normal to the curve, y^2=4x at (1,2) is

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  11. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

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  12. The rate of change of volume of a sphere with respect to its radius wh...

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

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  14. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

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  15. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

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  16. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

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  17. Which of the following function has neither local maxima nor local min...

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  18. Find the equation of the tangent to the curve y=3x^2 at (1,1)

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  19. Use differentiation to approximate sqrt36.6.

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  20. Which of the following function is always increasing? a)x+sin2x b)x-s...

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