. Find the derivative of (-cos x) from first principle.
Answers
Answered by
0
Answer:
Solution
verified
Verified by Toppr
f
′
(x)=
h→0
lim
h
f(x+h)−f(x)
=
h→0
lim
h
cos(x+h)−cosx
=
h→0
lim
[
h
cosxcosh−sinxsinh−cosx
]
=
h→0
lim
[
h
−cosx(1−cosh)−sinxsinh
]
=
h→0
lim
[
h
−cosx(1−cosh)
=
h
sinxsinh
]
=−cosx(
h→0
lim
h
1−cosh
)−sinx
h→0
lim
(
h
sinh
)
=−cosx.(0)−sinx(1)=−sinx
Similar questions
Math,
9 days ago
Geography,
9 days ago
English,
18 days ago
Computer Science,
18 days ago
English,
9 months ago
Political Science,
9 months ago