differentiation Flashcards
What is volume of cone
1/3 x π x r^2 x h
volume of cylinder
v= π x r^2 x h
volume of sphere
4/3 x π x r^3
what is area of curved part of cylinder
2π x r x h
curved area of cone
π x r x l
surface area of sphere
4 x π x r^2
circumference of circle
2 x π x r
What does first order differentiation mean and what you get with it
rate of change = velocity
what does second order differentiation mean and what you get with it
rate of change of rate of change = rate of change of velocity = acceleration
How to get if something is local min, local max, or point of inflection
2 METHODS EXPLAIN
f’‘(a)<0 means local max
f’‘(a)>0 means local min
f’‘(a)=0 means ANY
Method 2
- gradients +,0,- means local max
- gradients -,0,+ means local min
- gradients +,0,+ means point of inflection OR -,0,-
How to get the gradient of the normal when given the gradient function dy/dx
-(1/ gradient of the curve)
How to get the gradient of the tangent when given the gradient function dy/dx
just get the gradient of curve at that point = gradient of tangent
