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

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MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

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

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

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  4. The slope of the normal to the curve, y=x^3+x^2 at (-1,1) is

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  5. Find the intervals in which the function f(x)=2x^3-24x+25 is increasin...

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

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

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

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  9. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

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  10. Find the approximate change in volume of a cube of side x meters cause...

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  11. Find the equation of the tangent and normal at the point (1,2) on the ...

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  12. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  13. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  14. Consider the parametric forms x=(t)+(1/t) and y=(t)-(1/t) of a curve ...

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  15. The radius of a circle is increasing at the rate of 2cm//s. Find the r...

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  16. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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  17. Find the maximum and minimum value of the function f(x)=x^3-6x^2+9x+15...

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  18. Find the approximate value of (82)^(1/4) up to three places of decimal...

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  19. Find two positive numbers such that their sum is 8 and the sum of thei...

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  20. The slope of the tangent to the curve y=x^3-1 at x=2 is………

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