prove cosx/x+sinx= -(x sinx + cosx +1) by differentiation formula
Answers
Answered by
0
Answer:
Given y=cos(sinx)
cos
−1
y=sinx
Differentiating wrt x both sides we get ,
1−y
2
−1
dx
dy
=cosx
dx
dy
=−
1−y
2
cosx
Differentiating wrt x both sides we get ,
dx
2
d
2
y
=
1−y
2
sinx+cosx
1−y
2
y
dx
dy
dx
2
d
2
y
=sinx
1−y
2
−cosx
1−y
2
y
1−y
2
cosx
dx
2
d
2
y
=
1−y
2
sinx−ycos
2
x
L.H.S =
dx
2
d
2
y
+tanx
dx
dy
+ycos
2
x=
1−y
2
sinx−ycos
2
x+
cosx
sinx
(−
1−y
2
cosx)+ycos
2
x
dx
2
d
2
y
+tanx
dx
dy
+ycos
2
x=0
= R.H.S
Similar questions
Science,
3 hours ago
Environmental Sciences,
7 hours ago
Math,
7 hours ago
Math,
7 months ago
English,
7 months ago