/Tag: Calculus
30 07, 2018

Differential Calculus

By |2018-07-30T09:48:31+00:00July 30th, 2018|Tags: , , |Comments Off on Differential Calculus

Financial Maths Go to the Financial Maths Forum to see more questions or ask your own Topics Covered in Financial Maths Continuous Probability Distributions Normal Distribution Standard Normal Distribution Formulas used in Financial Maths  $$y=mx+b$$ $$m=\frac{rise}{run}$$ b = y-intercept [...]

30 07, 2018

First & Second Derivative

By |2018-07-30T09:47:53+00:00July 30th, 2018|Tags: , , |Comments Off on First & Second Derivative

Financial Maths Go to the Financial Maths Forum to see more questions or ask your own Topics Covered in Financial Maths Continuous Probability Distributions Normal Distribution Standard Normal Distribution Formulas used in Financial Maths  $$y=mx+b$$ $$m=\frac{rise}{run}$$ b = y-intercept [...]

13 07, 2016

Differential Equations

By |2016-11-01T13:44:29+00:00July 13th, 2016|Tags: , , , |0 Comments

Differential Equations worked examples `= lim_{hto 0},frac{(x+h)^2-1-(x^2-1)}h` `= lim_{hto 0},frac{x^2+2xh+h^2-1-x^2+1}h` `= lim_{hto 0},frac{2xh+h^2}h` `= lim_{hto 0}, 2x+h` = 2x + 0 = 2x `f'(x)= lim_{hto 0}frac{f(x+h)-f(x)}h` `= lim_{hto 0}frac{2(x+h)^3+1-(2x^3+1)}h` `= lim_{hto 0}frac{2x^3+6x^2h+6xh^2+2h^3-2x^3-1}h` `=lim_{hto 0}frac{6x^2h+6xh^2+2h^3}h` `=lim_{hto 0} 6x^2+6xh+2h^2` = 6x2 + 6x(0) + 2(0)2 [...]

19 08, 2015

Curve Sketching

By |2016-11-08T17:01:30+00:00August 19th, 2015|Tags: , , , |0 Comments

Curve Sketching worked examples  Consider the curve: $$y=2x+7+\frac{1}{x-2}$$. a. Find the stationary points. b. Sketch the curve and label all the important features.  a. y = 2x + 7 + (x - 2)-1y' = 2 - (x - 2)-2 y" = 2(x - 2)-3  find the first and second derivatives, [...]

19 08, 2015

Calculus

By |2016-11-23T07:59:21+00:00August 19th, 2015|Tags: , |0 Comments

Calculus Go to the Calculus Forum to see more questions or ask your own Topics Covered in Calculus Curve Sketching Differentiating Exponents (not e) Formulas Used in Calculus Calculus Forum Rules of the Forum be [...]

14 08, 2015

Challenging Calculus

By |2016-11-02T10:05:18+00:00August 14th, 2015|Tags: , , |0 Comments

Challenging Calculus Questions If y = x2n, where n is a positive integer: a. Find any stationary points and determine their nature. b. Show that the function has no point of inflection. a. y= x2n y' = 2nx2n-1 y'' = 2n(2n - 1)x2n-2 Stationary points occur when y' = 0 y' [...]

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