Class 12 Continuity And Differentiability · Conceptual Answer1 Markschain_and_product_rules
Class 12 Maths · Continuity And Differentiability · Conceptual Answer #42
Differentiate y=2√(sec(e^(2x))) where sec(e^(2x))>0.
✅ Step-by-Step Solution
Final Answer: 2e^(2x)√(sec(e^(2x)))tan(e^(2x))
- The outer square root contributes 1/√sec(e^(2x)); the secant contributes sec(e^(2x))tan(e^(2x)); and e^(2x) contributes 2e^(2x).
- 2e^(2x)√(sec(e^(2x)))tan(e^(2x))
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The outer square root contributes 1/√sec(e^(2x)); the secant contributes sec(e^(2x))tan(e^(2x)); and e^(2x) contributes 2e^(2x).
- [0.5 marks] 2e^(2x)√(sec(e^(2x)))tan(e^(2x))
Master Chapter 5: Continuity And Differentiability
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Continuity And Differentiability.
← Previous Question
Differentiate sin²(√x) for x>0.
Next Question →Differentiate y=cosec(cot√x) on open real intervals where x>0 and…
More Practice Questions in Continuity And Differentiability
Related Questions in Continuity And Differentiability
Class 12 Continuity And Differentiability · Mcq Single Correct
For k<0, define f(x)=(1−cos(kx))/(x sin x) for nonzero x near 0, and f(0)=1/2. Find k for…
Class 12 Continuity And Differentiability · Mcq Single Correct
Near π/2, f(x)=k cos x/(π−2x) for x≠π/2 and f(π/2)=3. Find k for continuity.
Class 12 Continuity And Differentiability · Mcq Single Correct
Find the full set of real inputs excluded from the natural domain of cot x (its poles).
Class 12 Continuity And Differentiability · Mcq Single Correct
How many real inputs are excluded from the original formula f(x)=(x−1)/[x(x²−1)]?
Class 12 Continuity And Differentiability · Mcq Single Correct
For x≠0, f(x)=(e^(3x)−e^(−5x))/x, and f(0)=k. Find k for continuity at 0.
Class 12 Continuity And Differentiability · Mcq Single Correct
Let f(x)=x/|x| for x<0 and f(x)=−1 for x≥0. What is its complete continuity set?