Find the derivative of the following functions from first principle:
[tex]cos(x - \frac{\pi}{8} )[/tex]
[tex]cos(x - \frac{\pi}{8} )[/tex]
Add an Answer
More Questions From This User See All
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
To Find:
Value of,
Solution:
W.k.t
By using the identities
#
Answer:
Let f(x)=cos(x−
8
π
)
Thus using first principle
f
′
(x)=
x→0
lim
h
f(x+h)−f(x)
=
x→0
lim
h
1
[cos(x+h−
8
π
)−cos(x−
8
π
)]
=
x→0
lim
h
1
[−2sin
2
(x+h−
8
π
+x−
8
π
)
sin(
2
x+h−
8
π
−x+
8
π
)]
=
x→0
lim
h
1
[−2sin(
2
2x+h−
4
π
)sin
2
h
]
=
x→0
lim
[−sin(
2
2x+h−
4
π
)
(
2
h
)
sin(
2
h
)
]
=−sin(
2
2x+0−
4
π
)⋅1=−sin(x−
8
π
)
Step-by-step explanation:
PN MAJHI JAGA DUSRYA KUNALA DILAS TR BG TU