Question Detail
Question
What is d/dx (-ln(cos x))
Correct Answer
Option C is the correct answer.
Detailed Explanation
Let y = -ln(cos x).Using the chain rule, d/dx (ln(u)) = (1/u) * (du/dx). Here, u = cos x.The derivative of cos x is -sin x.So, dy/dx = - (1/cos x) * (-sin x)dy/dx = sin x / cos xdy/dx = tan x.
Hint
Apply the chain rule for derivatives of logarithmic functions. Remember the derivative of cos x.