Formulae (V1)

Question 1

Average speed (when T1 = T2)

Answer 1

(V1 + V2)/2

Question 2

Instantaneous Speed =

Answer 2

|Instantaneous Velocity|

Question 3

d/dx(a) where a is constant =

Answer 3

0
Differentiation of constants is = 0

Question 4

d/dx(7) = ?

Answer 4

0
Differentiation of a constant is always 0

Question 5

Formula for differentiation:
d/dx(x^n) =

Answer 5

nx^n-1

Question 6

For differentiation formula:
d/dx(ax^n) = ?
When a is a constant, for ex:
d/dx(3x^2)

Answer 6

a•d/dx(x^n)
=a•(nx^n-1)

Ex: 3•d/dx(x^2)
=3•(2x)
=6x

Question 7

For differentiation:
d/dx(sin x) =?

Answer 7

cos x

Question 8

For differentiation:
d/dx(tan x) = ?

Answer 8

sec^2x

Question 9

For differentiation:
d/dx(ln x) = ?
Or, d/dx(log x) = ?

Answer 9

1/x

Question 10

For differentiation:
d/dx(cos x) = ?

Answer 10

• sin x

Question 11

For differentiation,
d/dx(e^x) =?

Answer 11

e^x

Question 12

For differentiation:
d/dx(e^2) = ?

Answer 12

0

Question 13

For differentiation,
Y = A + B will be:
Y = A - B will be:

Answer 13

dy/dx = dA/dx + dB/dx
dy/dx = dA/dx - dB/dx

Question 14

For differentiation,
y = e^x +sin x

Answer 14

dy/dx = e^x + cos x

Question 15

First deritive =

Answer 15

y’ = dy/dx

Question 16

Second deritive = ?

Answer 16

y” = d^2y/dx^2 = d/dx(dy/dx)

Question 17

For differentiation,
Y = A•B
Y = A/B

Answer 17

y = u•v
dy/dx = (u)v + u(v)

y = u/v
dy/dx = (v(u) + u(v))/v^2

Question 18

According to Chain Rule:
If [] = f(x)
y = []^n

Answer 18

dy/dx = n[]^(n-1)•d/dx[]

Question 19

For integration,
§x^ndx = ?

Answer 19

x^(n+1)/n+1
when (n ≠ -1)

Question 20

For integration,
§a•dx = ?
Where, a is constant

Answer 20

ax

Question 21

For integration,
§sin x dx = ?

Answer 21

-cos x

Question 22

For integration,
§cos x dx = ?

Answer 22

sin x

Question 23

For integration,
§sec^2 x dx = ?

Answer 23

tan x

Question 24

For integration,
§sec^2 x dx = ?

Answer 24

tan x

Question 25

For integration,
§1/x dx = ?

Answer 25

log x or ln x

Question 26

For integration,
§e^x dx = ?

Answer 26

e^x

Question 27

For integration,
§1/x^2 dx = ?

Answer 27

§x^-2dx
= (x^(-2+1))/-2+1

Question 28

For integration,
§dx(1)

Answer 28

§x°dx
= (x^(0+1))/0+1
= x

Question 29

What is the relation between distance and displacement (Hint: More/Less relation)

Answer 29

Distance ≥ |Displacement|

Question 30

Distance pucha hai to?

Answer 30

JHOL HAI!