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Sofiya Parihar
Subject: Maths
, asked on 7/2/18
Answer question no.12
Q.12. If
y
=
x
log
x
a
+
b
x
, then prove that
x
3
d
2
y
d
x
2
=
x
d
y
d
x
-
y
.
Answer
1
Vidipta Fulpadia
Subject: Maths
, asked on 5/2/18
Q). Differentiate:
y
=
tan
x
sin
x
Answer
2
Vidipta Fulpadia
Subject: Maths
, asked on 5/2/18
Q). Differentiate the following:
y
=
1
3
x
+
7
-
1
7
-
3
x
Answer
1
Somnath Sharma
Subject: Maths
, asked on 31/1/18
Q
.
I
f
f
(
x
)
=
2
cos
x
-
1
cos
x
-
1
,
x
≠
π
4
.
F
i
n
d
t
h
e
v
a
l
u
e
o
f
f
π
4
s
o
t
h
a
t
f
(
x
)
b
e
c
o
m
e
s
c
o
n
t
i
n
u
o
u
s
a
t
x
=
π
/
4
.
Answer
1
Vibhav
Subject: Maths
, asked on 30/1/18
Whats lim x->a (xloga-1)/(x-a)
Answer
1
Vibhav
Subject: Maths
, asked on 29/1/18
What are divergent and convergent limits???
Answer
1
Vibhav
Subject: Maths
, asked on 29/1/18
Whats the difference between lim h-> 0
(1) sin(1/h)/h
(2) sin(1/-h)/h
(3) sin(1/h)/-h
(4) sin(1/-h)/-h
Shouldnt also the answers be infinity as if h->0 then 1/h and 1/-h ->infinity and sin of these will be an oscillating value between -1 to 1
Also if h tends to 0, -h will also tend to 0
If the question just says lim h->0 then is it obvious that h will tend to 0 from the positive side only i.e. 0.1,0.001,0.0001 ect and NOT the negative side i.e. -0.1,-0.001,-0.0001
Answer
1
Vibhav
Subject: Maths
, asked on 29/1/18
Let f(x) = x.(e)^-2/x
If I calculate f'(0) using first principle I get teh answer as 0
However if I calculate f'(0) using product rule I dont get the same answer
Why this discrepancy in answer???
Is it because F(x) is not defined at x=0
Also can f'(c) exist if f(x) is NOT defined at x=c
Answer
1
Vibhav
Subject: Maths
, asked on 29/1/18
Whats lim h->0 sin(1/h)/h please give the relevant reason as well
Answer
1
Vibhav
Subject: Maths
, asked on 29/1/18
Please solve Q8
Answer
2
Abhishek
Subject: Maths
, asked on 28/1/18
Solve the limits??
Q.
lim
x
→
0
100
sin
x
x
+
100
tan
x
x
Answer
1
Abhishek
Subject: Maths
, asked on 28/1/18
Q
.
lim
x
→
0
x
y
2
-
(
x
-
y
)
2
(
8
x
y
-
y
x
2
+
8
x
y
)
3
Answer
1
Jassimrat Kaur
Subject: Maths
, asked on 28/1/18
Please solve example 43
Answer
1
Vibhav
Subject: Maths
, asked on 28/1/18
In this solution isnt (-h)^(1/2) an imaginary number???
Also how is sin(1/h) as h->0 = h as h->0???
Lim h ->0 (sinh/h) = 1 is applicable on if h tends to 0
But if h->0 (1/h) tends to infinity so this rule isnt applicable
Also in this question 0Then (-h)^(1/3) is a real number
Isnt this question a liitle incomplete???
Answer
1
Vibhav
Subject: Maths
, asked on 28/1/18
Whats the difference between
(1) lim h->0 sin(1/h)
(2) lim h->0 sin(-1/h)
Arent both these one and the same thing???
Answer
1
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What are you looking for?
Q.12. If , then prove that .
(1) sin(1/h)/h
(2) sin(1/-h)/h
(3) sin(1/h)/-h
(4) sin(1/-h)/-h
Shouldnt also the answers be infinity as if h->0 then 1/h and 1/-h ->infinity and sin of these will be an oscillating value between -1 to 1
Also if h tends to 0, -h will also tend to 0
If the question just says lim h->0 then is it obvious that h will tend to 0 from the positive side only i.e. 0.1,0.001,0.0001 ect and NOT the negative side i.e. -0.1,-0.001,-0.0001
If I calculate f'(0) using first principle I get teh answer as 0
However if I calculate f'(0) using product rule I dont get the same answer
Why this discrepancy in answer???
Is it because F(x) is not defined at x=0
Also can f'(c) exist if f(x) is NOT defined at x=c
Q.
Also how is sin(1/h) as h->0 = h as h->0???
Lim h ->0 (sinh/h) = 1 is applicable on if h tends to 0
But if h->0 (1/h) tends to infinity so this rule isnt applicable
Also in this question 0Then (-h)^(1/3) is a real number
Isnt this question a liitle incomplete???
(1) lim h->0 sin(1/h)
(2) lim h->0 sin(-1/h)
Arent both these one and the same thing???