Prelim Revision Flashcards
what do you get when you differentiate:
ln f(x)
f(x)
what do you get when you differentiate:
f(x) e
f(x)
f’(x) e
How do you do implicit differentiation?
Differentiate x terms as normal
Differentiate y terms as normal and write dy/dx at the end
Make Dy/Dx the subject of the formula
When do you select implicit differentiation?
When you have x’s and y’s
How do you calculate the first derivative?
dy/dt / dx/dt
How do you calculate the second derivative?
Differentiate the first derivative
Flip DX/DT and multiply
What is the formula for instantaneous speed?
square root of:
(dx/dt)^2 + (dy/dt)^2
What is the formula for instantaneous speed?
square root of:
(dx/dt)^2 + (dy/dt)^2
What can sec x be rewritten as?
1
—————-
cos x
You see a partial fractions question with this on the denomiator
(x+1) (x^2 + 2x + 5)
wyd?
- Confirm quadratic is irreducible using b^2-4ac
How do we know if a matrix is singular?
If the determinant is 0
How do you get the transpose of a matrix?
You switch the rows and columns
Why would a matrix not have an inverse?
It is not a square matrix
What statement do you right at the end of a proof by induction question?
If roots are real and distinct, the general solution is in the form…
px qx
y = Ae + Be
