JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(f(x)=2^x-x^2, x \in R\). If \(m\) and \(n\) are respectively the number of points at which the curves \(y=f(x)\) and \(y=f^{\prime}(x)\) intersects the \(x\)-axis, then the value of \(m+n\) is
- A \(8\)
- B \(7\)
- C \(6\)
- D \(5\)
Answer & Solution
Correct Answer
(D) \(5\)
Step-by-step Solution
Detailed explanation
\(\therefore \mathrm{n}=2 \) \(\Rightarrow \mathrm{m}+\mathrm{n}=5\)
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