jee-main 2016 Q82

jee-main · India · 09apr Differentiating Transcendental Functions Compute derivative of transcendental function

For $x \in \mathbb{R}$, $f(x) = |\log 2 - \sin x|$ and $g(x) = f(f(x))$, then:
(1) $g$ is not differentiable at $x = 0$
(2) $g'(0) = \cos(\log 2)$
(3) $g'(0) = -\cos(\log 2)$
(4) $g$ is differentiable at $x = 0$ and $g'(0) = -\sin(\log 2)$

For $x \in \mathbb{R}$, $f(x) = |\log 2 - \sin x|$ and $g(x) = f(f(x))$, then:\\
(1) $g$ is not differentiable at $x = 0$\\
(2) $g'(0) = \cos(\log 2)$\\
(3) $g'(0) = -\cos(\log 2)$\\
(4) $g$ is differentiable at $x = 0$ and $g'(0) = -\sin(\log 2)$

Paper Questions

Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73 Q74 Q75 Q76 Q77 Q78 Q79 Q80 Q81 Q82 Q83 Q84 Q85 Q86 Q87 Q88 Q89 Q90