CUET Mathematics 2024Calculus > Medium(A) - (I), (B) - (II), (C) - (III), (D) - (IV)(A) - (I), (B) - (III), (C) - (II), (D) - (IV)(A) - (I), (B) - (II), (C) - (IV), (D) - (III)(A) - (III), (B) - (IV), (C) - (I), (D) - (II)✅ Correct Option: 4Related questions:The second order derivative of which of the following functions is 5x5^{\mathrm{x}}5x ?Let [x][x][x] denote the greatest integer function. Then match List-I with List-II: List-IList-II(A) ∣x−1∣+∣x−2∣|x - 1| + |x - 2|∣x−1∣+∣x−2∣(I) is differentiable everywhere except at x=0x = 0x=0(B) x−∣x∣x - |x|x−∣x∣(II) is continuous everywhere(C) x−[x]x - [x]x−[x](III) is not differentiable at x=1x = 1x=1(D) x ∣x∣x \, |x|x∣x∣(IV) is differentiable at x=1x = 1x=1If f(x)f(x)f(x), defined by f(x)={kx+1 if x≤πcosx if x>πf(x)=\left\{\begin{array}{lll}k x+1 & \text { if } & x \leq \pi \\ \cos x & \text { if } & x>\pi\end{array}\right.f(x)={kx+1cosx if if x≤πx>π is continuous at x=πx=\pix=π, then the value of kkk is :