Formulae (V1) Flashcards
Average speed (when T1 = T2)
(V1 + V2)/2
Instantaneous Speed =
|Instantaneous Velocity|
d/dx(a) where a is constant =
0
Differentiation of constants is = 0
d/dx(7) = ?
0
Differentiation of a constant is always 0
Formula for differentiation:
d/dx(x^n) =
nx^n-1
For differentiation formula:
d/dx(ax^n) = ?
When a is a constant, for ex:
d/dx(3x^2)
a•d/dx(x^n)
=a•(nx^n-1)
Ex: 3•d/dx(x^2)
=3•(2x)
=6x
For differentiation:
d/dx(sin x) =?
cos x
For differentiation:
d/dx(tan x) = ?
sec^2x
For differentiation:
d/dx(ln x) = ?
Or, d/dx(log x) = ?
1/x
For differentiation:
d/dx(cos x) = ?
- sin x
For differentiation,
d/dx(e^x) =?
e^x
For differentiation:
d/dx(e^2) = ?
0
For differentiation,
Y = A + B will be:
Y = A - B will be:
dy/dx = dA/dx + dB/dx
dy/dx = dA/dx - dB/dx
For differentiation,
y = e^x +sin x
dy/dx = e^x + cos x
First deritive =
y’ = dy/dx
Second deritive = ?
y” = d^2y/dx^2 = d/dx(dy/dx)
For differentiation,
Y = A•B
Y = A/B
y = u•v
dy/dx = (u)v + u(v)
y = u/v
dy/dx = (v(u) + u(v))/v^2
According to Chain Rule:
If [] = f(x)
y = []^n
dy/dx = n[]^(n-1)•d/dx[]
For integration,
§x^ndx = ?
x^(n+1)/n+1
when (n ≠ -1)
For integration,
§a•dx = ?
Where, a is constant
ax
For integration,
§sin x dx = ?
-cos x
For integration,
§cos x dx = ?
sin x
For integration,
§sec^2 x dx = ?
tan x
For integration,
§sec^2 x dx = ?
tan x
For integration,
§1/x dx = ?
log x or ln x
For integration,
§e^x dx = ?
e^x
For integration,
§1/x^2 dx = ?
§x^-2dx
= (x^(-2+1))/-2+1
For integration,
§dx(1)
§x°dx
= (x^(0+1))/0+1
= x
What is the relation between distance and displacement (Hint: More/Less relation)
Distance ≥ |Displacement|
Distance pucha hai to?
JHOL HAI!
