CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Q101 Markschain_rule
CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Question 10 (Continuity And Differentiability)
Differentiate \(\cos^{-1}(e^x)\) with respect to x.
✅ Step-by-Step Solution
Final Answer: \(-e^x/\sqrt{1-e^{2x}}\)
- For x<0 the real derivative is the outer arccosine derivative times eˣ, giving −eˣ/√(1−e²ˣ).
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