• A. $\frac{1}{In x}$
• B. $\frac{1}{x}$
• C. $e^{In\left(In x\right)}$
• D. কোনটিই নয়

Answer: Option B

Explanation:

• A. $\frac{c^x}{2y-1}$
• B. $\frac{c^x}{2y+1}$
• C. $\frac{c^{-x}}{2y-1}$
• D. $\frac{c^{-x}}{2y+1}$

Answer: Option A

Explanation:

• A. $\frac{1}{2y-1}$
• B. $\frac{x}{1-2y}$
• C. $\frac{y}{2y-1}$
• D. $\frac{y}{1-2y}$

Answer: Option A

Explanation:

• A. $\frac{y}{4}\tan x$
• B. $\frac{y}{2}\tan x$
• C. $\frac{y^2}{2}\tan x$
• D. $\frac{y}{2}{\tan }^{2}x$

Answer: Option B

Explanation:

• A. $\frac{y}{4}\tan x$
• B. $\frac{y}{2}\tan x$
• C. $\frac{y^2}{2}\tan x$
• D. $\frac{y}{2}{\tan }^{2}x$

Answer: Option B

Explanation:

• A. $\frac{24}{5}$
• B. $\frac{32}{3}$
• C. $32$
• D. $\frac{28}{3}$

Answer: Option D

Explanation:

• B. 8
• C. 14
• D. 16

Answer: Option C

Explanation:

• A. ${\tan }^{-1}\left(1\right)$
• B. ${\tan }^{-1}\left(\frac{3}{4}\right)$
• C. ${\tan }^{-1}\left(\frac{4}{3}\right)$
• D. ${\tan }^{-1}\left(\frac{1}{2}\right)$

Answer: Option C

Explanation:

• A. $4x$
• B. $0$
• C. $1$
• D. $4x+\cos x{e}^{\sin x} 4x+\cos x{e}^{\sin x}$

Answer: Option B

Explanation:

• A. $-3$
• B. $-\frac{1}{3}$
• C. $\frac{1}{3}$
• D. $3$

Answer: Option B

Explanation:

• A. 2
• B. 7
• C. 3

Answer: Option C

Explanation:

• A. ক্রমবর্ধমান, 6 একক/সেকেন্ড
• B. ক্রমহ্রাসমান, 6 একক/সেকেন্ড
• C. ক্রমবর্ধমান, 3ও একক/সেকেন্ড
• D. ক্রমহ্রাসমান, 3 একক/সেকেন্ড

Answer: Option B

Explanation:

• A. $\frac{4}{3}$square units
• B. $\frac{2}{3}$square units
• C. $\frac{8}{3}$square units
• D. 1square units

Answer: Option A

Explanation:

• A. $4$
• B. $3$
• C. $1$
• D. $2$

Answer: Option D

Explanation:

• A. $\frac{2x}{1+x^2}$
• B. $2x\left(1+x^2\right)$
• C. $\frac{1+x^2}{2x}$
• D. $\frac{1}{2x\left(1+x^2\right)}$

Answer: Option B

Explanation: