Find the 96 th derivative of f(1) = sin c.
f (96) (2)
=

The derivatives of sin(x) follow a simple pattern:

f(x) = sin(x)

f '(x) = cos(x)

f ''(x) = - sin(x)

f '''(x) = - cos(x)

f (x) = sin(x)

and so on. 96 is a multiple of 4, so

f ⁽⁹⁶⁾(x) = sin(x)

720

step-by-step explanation:

first i did work 2nd i did work and 3rd i did work

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl