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For the curve y = 5x - 2x^3, if x increa...

For the curve `y = 5x - 2x^3`, if x increases at te rate of 2units/s, then how fast is the slope of curve changing when x =3?

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the interval of increase of the function f(x) = 3x + cos x

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  2. Find the slope of the tangent to the curve y = 3x^2 at the point (1/6,...

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  3. For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...

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  4. Find the slope of the normal to the curve y = x^3 at the point whose a...

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  5. At what point on the curve y = x^2 - 2x, the tangent is parallel to x-...

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  6. At what point on the curve y = 2x^2 - 4x + 3, the normal is parallel t...

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  7. Find the slope of the normal to the curve y = 1/x at the point (1/3,3...

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  8. Find the equation of the tangent to the curve y = x^2 - x + 2 where it...

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  9. Find the change in the value of y=x^2 when x = 10 and Deltax = 0.01

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  10. Find the approximate volume of metal in a hollow spherical shel, whose...

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  11. Find the maximum value of sin x cos x.

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  12. Find the maximum vlaue (1)/(x^2 + x + 1), x in R

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  13. Prove that f(x) = sin x + sqrt3 cos x has maximum value at x = pi//6

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  14. Write down the maximum value of a sin x + b cos x, x in R.

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  15. Does the function f(x) = 3^x have any extreme point?

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  16. Using differentials, find the approximate value of sqrt(0.082)

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  17. Find the minimum value of f(x) = x - x^2

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  18. What is the minimum value of x^x , x > 0?

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  19. Find the maximum value of f(X) = 2x^2 - x +1

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  20. If f(X) attains a local minimum value at x = c and f"(c )> 0, then wha...

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