CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q181 Marksimplicit_derivatives
CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 18 (Continuity And Differentiability)
If \(e^{x+y}=3x\), find dy/dx.
✅ Step-by-Step Solution
Final Answer: \((3-e^{x+y})/e^{x+y}\)
- Implicit differentiation gives e raised to (x+y) times (1+y′)=3. Isolate y′ to get 3/e raised to (x+y), minus 1.
Master Chapter 5: Continuity And Differentiability
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Continuity And Differentiability.
← Previous Question
The determinant of [[−1,−2,5],[−2,a,−1],[0,4,2a]] is −86. Find the…
Next Question →Assertion: A line can have direction cosines (1,1,1). Reason: cos…
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/2
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?