Related InterviewSolutions

• Value after differentiating cos (sinx) is _________(a) sin (sinx).cosx(b) -sin (sinx).cosx(c) sin (sinx)(d) sin (cosx).cosxI have been asked this question in a job interview.The doubt is from Differentiability in section Continuity and Differentiability of Mathematics – Class 12
• Does Rolle’s theorem applicable if f(a) is not equal to f(b)?(a) Yes(b) No(c) Under particular conditions(d) May beThe question was asked at a job interview.This question is from Mean Value Theorem in section Continuity and Differentiability of Mathematics – Class 12
• Find \(\frac{d^2y}{dx^2}\), if y=tan^2⁡x+3 tan⁡x.(a) sec^2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x+3)(b) 2 sec^2⁡⁡x tan⁡x (2 tan⁡x-sec⁡x+3)(c) 2 sec^2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x+3)(d) 2 sec^2⁡⁡x tan⁡x (2 tan⁡x+sec⁡x-3)This question was posed to me in an interview.The above asked question is from Second Order Derivatives topic in section Continuity and Differentiability of Mathematics – Class 12
• What is the relation between f(a) and f(b) according to Rolle’s theorem?(a) Equals to(b) Greater than(c) Less than(d) UnequalThe question was posed to me in an interview for job.I need to ask this question from Mean Value Theorem in portion Continuity and Differentiability of Mathematics – Class 12
• Differentiate (3 cos⁡x)^x with respect to x.(a) (3 cos⁡x)^x (log⁡(3 cos⁡x)+x tan⁡x)(b) (3 cos⁡x)^x (log⁡(3 cos⁡x)+tan⁡x)(c) (cos⁡x)^x (log⁡(3 cos⁡x)-x tan⁡x)(d) (3 cos⁡x)^x (log⁡(3 cos⁡x)-x tan⁡x)This question was posed to me in semester exam.Enquiry is from Logarithmic Differentiation in chapter Continuity and Differentiability of Mathematics – Class 12
• Differentiate log⁡(e^5x^3) w.r.t x.(a) \(\frac{-15x^2}{e^{5x^3}}\)(b) \(\frac{15x^2}{e^{5x^3}}\)(c) 15x^2(d) -15x^2I got this question at a job interview.The above asked question is from Exponential and Logarithmic Functions topic in chapter Continuity and Differentiability of Mathematics – Class 12
• What are the kinds of discontinuity?(a) Minor and major kinds(b) Increment and decrement kinds(c) First and second kinds(d) Zero and one kindsThe question was posed to me in a national level competition.This key question is from Continuity in division Continuity and Differentiability of Mathematics – Class 12
• Find \(\frac{d^2 y}{dx^2}\)-6 \(\frac{dy}{dx}\) if y=4x^4+2x.(a) \((4x^2+8x-1)\)(b) \(12(4x^2+8x-1)\)(c) –\(12(4x^2+8x-1)\)(d) \(12(4x^2-8x-1)\)I got this question during an interview.This intriguing question comes from Second Order Derivatives in chapter Continuity and Differentiability of Mathematics – Class 12
• Find \(\frac{d^2 y}{dx^2}\), if y=2 sin^-1⁡(cos⁡x).(a) 0(b) sin^-1\((\frac{1}{cos⁡x})\)(c) 1(d) -1The question was asked in unit test.My query is from Second Order Derivatives topic in section Continuity and Differentiability of Mathematics – Class 12
• Differentiate 9^tan⁡3x with respect to x.(a) 9^tan⁡3x (3 log⁡9 sec^2⁡x)(b) 9^tan⁡3x (3 log⁡3 sec^2⁡⁡x)(c) 9^tan⁡3x (3 log⁡9 sec⁡x)(d) -9^tan⁡3x (3 log⁡9 sec^2⁡⁡x)The question was asked in semester exam.Origin of the question is Logarithmic Differentiation topic in portion Continuity and Differentiability of Mathematics – Class 12