what is d/dx sinx(1/cosx)?
Answers
Answered by
2
Step-by-step explanation:
If we apply it to our case:
f
'
(
x
)
=
(
sin
x
)
'
(
1
+
cos
x
)
−
sin
x
(
1
+
cos
x
)
'
(
1
+
cos
x
)
2
=
cos
x
(
1
+
cos
x
)
+
sin
x
sin
x
(
1
+
cos
x
)
2
=
cos
x
+
cos
2
x
+
sin
2
x
(
1
+
cos
x
)
2
Using now the trigonometric rule:
cos
2
x
+
sin
2
x
=
1
we finally get:
f
'
(
x
)
=
1
+
cos
x
(
1
+
cos
x
)
2
=
1
1
+
cos
x
Answered by
1
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