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Find the points on the curve y=x^3 at wh...

Find the points on the curve `y=x^3` at which the slope of the tangent is equal to the y-coordinate of the point.

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the function given by f(x)=sin x is a) strictly increasing ...

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  2. Prove that the function given by f(x)=cos x is (a) Strictly decreasin...

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  3. Find the points on the curve y=x^3 at which the slope of the tangent i...

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  4. Consider parametric forms given by x=asin^3t,y=b cos^3t Find dy/dx.

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  5. Consider parametric forms given by x=asin^3t,y=b cos^3t Find the equat...

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  6. Find the equation of the tangent line to the curve y=x^2-2 x+7 which i...

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  7. Find the equation of the tangent line to the curve y=x^2-2 x+7 which i...

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  8. Use differentials to find the approximate value of (15)^(1/4) up to 3 ...

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  9. Prove that the following functions do not have maxima or minima g (x) ...

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  10. Show that all rectangles with a given perimeter, the square has the ma...

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  11. The slope of the tangent to the curve y=e^(2x) at (0,1) is.....a)1 b)2...

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

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

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

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

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

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

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

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

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

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