Math, asked by diyapatel2930, 18 days ago

. Find the derivative of (-cos x) from first principle.​

Answers

Answered by simialingalparambu
0

Answer:

Solution

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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

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