Question

If y = cos⁴ 0, x = sin⁴ 0, then find dy/dx​

Answer 1

Answer:

Given,

y=(sin(x+9))/(cosx)

<br>

therefore (dy)/(dx) = (cosxcos(x+9)-sin(x+9)(-sinx))/(cosx)^(2)

[by quotient rule] <br>

=cosxcos(x+9)+sinxsin(x+9)/(cos^(2)x)

<br>

therefore ((dy)/(dx))_(x=0) = (costheta)/(1) = costheta