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

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  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. Use differentiation to approximate sqrt36.6.

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

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  6. The radius of a cylinder increases at a rate of 1 cm/s and its height ...

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  7. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

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  8. Which of the following function is increasing for all values of x in i...

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

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  10. Find the maximum profit that a company can make, if the profit functio...

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  11. Find the slope of the normal to the curve y=sintheta at theta=pi/4

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

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

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  14. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

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  15. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

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

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  17. Use differentiation to approximate sqrt36.6.

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  18. Find two numbers whose sum is 24 and whose product as large as possibl...

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  19. Find the equation of the tangentto the ellipse x^2/a^2+y^2/b^2=1at(x1,...

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  20. Find the intervals in which the function f(x)= 2x^3-15x^2+36x+1 is i...

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