Basic Calculus

5. Real life application of derivatives to calculate the rate of changes in this fild like growth rate of tumor and blood flow.
6. A function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
7. Real life application to population growth is another instance of thee derivatives used in the science.
9. a limit is the behavior on one only one side of the value where the function is undefined.
10. A rule with a formula d(u)/dx(v) = u du/dx – u dv/dx all over v2.
11. Real life application wherein the derivative of velocity W.R.T time is acceleration.
15. the process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately
17. a function that is a fraction and has the property that both its numerator and denominator are polynomials.
18. a function that does not have any abrupt changes in value.
19. Derivatives is used in this field to calculate rate of reaction and compressibility.
21. Derivatives of 3x.
22. A rule with a formula f(x) = f ’(g(x))g’(x)
23. Function that has an example of f(x)=8x4−4x3+3x2−2x+22
24. One way to solve limits, by visualizing and sketching it.
25. Real life application of derivatives in this field that can estimate the profit and loss point for certain ventures

1. A rule with a formula d/dx xn = n . xn-1
2. Real life application of derivatives to see the problems when remodelling the behaviour of moving objects
3. any function of the form f(x)=Ax2+Bx+C where A,B and C are constants.
4. Real life application of derivatives in solving the problems of optimisation such as those of profit maximisation, cost minimisation, output and revenue maximisation
8. is all about finding rates of change of one quantity compared to another.
12. One way to solve limits, by substituting the values.
13. The graph of this function is a straight line, but a vertical line is not the graph of a function.
14. It is simply means that there is no limit to its values.
16. A rule with a formula d(uv)/dx = u dv/dx + v du/dx
20. It is he fundamental tools of a function