NDA 2012
- Exam
- NDA
- Year
- 2012
- Subject
- Mathematics
- Chapter
- Differentiation
NDA 2012 · Mathematics · Differentiation
If y= (e^ m x +e^ -m x ) , then what is (d y)/(d x) at x=0 equal to?
If , then what is at equal to?
Options
- A-1
- B0
- C1
- D2
Correct answer
B. 0
Step-by-step solution
y=\log _e\left(e^{m x}+e^{-m x}\right)\frac{d y}{d x}=\frac{1}{\left(e^{m x}+e^{-m x}\right)} \cdot\left(e^{m x} \cdot m+e^{-m x}(-m)\right)=\frac{1}{\left(e^{m x}+e^{-m x}\right)}\left(e^{m x}-e^{-m x}\right)\left(\frac{d y}{d x}\right)_{x=0}=0