Question

Differentiate the following with respect to x using First
principle method. (For Q. 28-35)
Cisco
28.cos
$cos\sqrt{x}$


​

Answer 1

Answer:

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

Answer 2

Answer:

The principle of the method of mixtures states that the heat lost by a hot body is equal to the heat gained by the cold body when they are mixed together and attain the same temperature. This principle is based on the law of conservation of energy

Step-by-step explanation:

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