Flashcards
If I want to (calculus)...
Flashcards do conjunto (16)
- 1If I want to find the gradient at a point...I need to differentiate and then substitute in the x-value
- 2If I want to find a point with a certain gradient...I need to differentiate, set the gradient function equal to the gradient and then solve for x.
- 3If I want to find a maximum...I need to differentiate, set the derivative equal to 0 and solve for x. Then find the maximum by substituting into the orginal formula.
- 4If I want to find the distance at a point in time...I need to anti-differentiate the speed formula and then substitute in t.
- 5If I want to find the acceleration at a point in time...I need to differentiate the speed formula and then substitute in t.
- 6If I want to find the speed at a point in time...I need to differentiate the distance formula OR anti-differentiate the acceleration formula, and then sustitute in t.
- 7If I want to find the original function...I need to anti-differentiate and then substitute in a point to find the value of c.
- 8Find the rate of change at a point...I need to differentiate and substitute in the x value.
- 9If I want to find the equation of a tangent...I need to find the gradient at that point and then substitute into y-y1=m(x-x1).
- 10If I want to find the equation of a normal...I need to find the gradient at that point and then find the gradient of the normal (use m1 x m2 = -1). I then substitute into y-y1=m(x-x1).
- 11If I want to find out where a function is increasing...I need to find the gradient function, set it to >0 and then solve for x.
- 12If I want to find out where a function is decreasing...I need to find the gradient function, set it to <0 and then solve for x.
- 13If I want to prove a point is a maximum (or a minimum)...I need to differentiate twice and then substitute in the x value. If f''(x)<0 it is a maximum. If f''(x)>0 it is a mininum.
- 14If I want to find a point on the original curve or function...I need to anti-differentiate and use a known point to find c. I can then substitue in x to find the y value for that point.
- 15If I want to sketch the gradient function from a function...I need to convert turning points to x-intercepts, increasing parts are above the x-axis and decreasing parts are below the x-axis.
- 16If I want to sketch a function from a gradient function.I need to convert x-intercepts to turning points, parts above the x-axis are increasing and parts below the x-axis are decreasing.
Informações
- Descrição
- NCEA Level 2 Mathematics FlashCards sobre If I want to (calculus)..., criado por Louise Addison em 17-10-2013.
- Criado por
- Louise Addison
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