Question

Find the derivative of sin{(x)} at x=π/4 where {.} represents the fractional part​

Answer 1

Given:

sin{(x)} at x=π/4 where {.} represents the fractional part​

To find:

Find the derivative of sin{(x)} at x=π/4 where {.} represents the fractional part​

Solution:

From given, we have,

sin{(x)} at x = π/4 where {.} represents the fractional part​

Now derivate the above function.

d/dx [ sin{(x)}  ]

= cos x

substitute x = π/4 in the above equation.

Therefore, we get,

cos π/4 = 1/√2

The value of the derivative of sin{(x)} at x=π/4 where {.} represents the fractional part​ is 1/√2