Question:
If f(x) = cos x, g(x) = log x and y = (gof)(x), then what is the value of \(\dfrac{dy}{dx}\) at x = 0?
यदि f(x) = cos x, g(x) = log x और y = (g ∘ f)(x) है, तो x = 0 पर \(\dfrac{dy}{dx}\) का मान क्या है?
Options:
- 2
- 1
- -1
- 0
- 2
- 1
- -1
- 0
Correct Answer: d)
Explanation:
\(y = \log(\cos x) \implies \dfrac{dy}{dx} = -\tan x\).
At \(x = 0\): \(\dfrac{dy}{dx} = -\tan 0 = 0\).
\(y = \log(\cos x) \implies \dfrac{dy}{dx} = -\tan x\)। \(x = 0\) पर मान 0 है।