Basic Calculus

12345678910111213141516171819202122232425
Across
  1. 1. Real life application wherein the derivative of velocity W.R.T time is acceleration.
  2. 3. Real life application to population growth is another instance of thee derivatives used in the science.
  3. 4. One way to solve limits, by visualizing and sketching it.
  4. 7. Derivatives is used in this field to calculate rate of reaction and compressibility.
  5. 9. Real life application of derivatives to see the problems when remodelling the behaviour of moving objects
  6. 12. A rule with a formula d(uv)/dx = u dv/dx + v du/dx
  7. 13. Real life application of derivatives in solving the problems of optimisation such as those of profit maximisation, cost minimisation, output and revenue maximisation
  8. 14. Real life application of derivatives to calculate the rate of changes in this fild like growth rate of tumor and blood flow.
  9. 19. A rule with a formula d/dx xn = n . xn-1
  10. 20. is all about finding rates of change of one quantity compared to another.
  11. 21. Derivatives of 3x.
  12. 23. It is simply means that there is no limit to its values.
  13. 24. A rule with a formula d(u)/dx(v) = u du/dx – u dv/dx all over v2.
  14. 25. A rule with a formula f(x) = f ’(g(x))g’(x)
Down
  1. 2. the process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately
  2. 5. One way to solve limits, by substituting the values.
  3. 6. Real life application of derivatives in this field that can estimate the profit and loss point for certain ventures
  4. 8. The graph of this function is a straight line, but a vertical line is not the graph of a function.
  5. 10. a limit is the behavior on one only one side of the value where the function is undefined.
  6. 11. A function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
  7. 15. It is he fundamental tools of a function
  8. 16. any function of the form f(x)=Ax2+Bx+C where A,B and C are constants.
  9. 17. a function that does not have any abrupt changes in value.
  10. 18. Function that has an example of f(x)=8x4−4x3+3x2−2x+22
  11. 22. a function that is a fraction and has the property that both its numerator and denominator are polynomials.