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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Calculus

>

Continuity & Differentiability

Medium

Match List-I with List-II :

List-I $\\$ (Function)	List-II $\\$ (Derivative w.r.t. x)
(A) $\frac{5^x}{\log _ e 5}$	(I) $5^x(\log _ e5)^2$
(B) $\log _ e 5$	(II) $5^x \log _ e 5$
(C) $5^x\log _ e 5$	(III) $5^x$
(D) $5^x$	(IV) $0$

Choose the correct answer from the options given below :

(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: 4

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Related questions:

CUET Mathematics 2024

f(x)

f(x)=\left\{\begin{array}{lll}k x+1 & \text { if } & x \leq \pi \\ \cos x & \text { if } & x>\pi\end{array}\right.

is continuous at

x=\pi

, then the value of

k

CUET Mathematics 2024

[x]

denote the greatest integer function. Then match List-I with List-II:

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List-I	List-II
(A) $\|x - 1\| + \|x - 2\|$	(I) is differentiable everywhere except at $x = 0$
(B) $x - \|x\|$	(II) is continuous everywhere
(C) $x - [x]$	(III) is not differentiable at $x = 1$
(D) $x \, \|x\|$	(IV) is differentiable at $x = 1$

CUET Mathematics 2024

The second order derivative of which of the following functions is

5^{\mathrm{x}}