Medium
If $y = \frac{e^x + e^{-x}}{e^x - e^{-x}}$,then $\frac{dy}{dx}$ is equal to
- A$\text{sech}^2 x$
- B$\text{cosech}^2 x$
- C$-\text{sech}^2 x$
- D$-\text{cosech}^2 x$
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Similar Questions
Suppose that $h(x) = f(x) \cdot g(x)$ and $F(x) = f(g(x))$,where $f(2) = 3$,$g(2) = 5$,$g'(2) = 4$,$f'(2) = -2$,and $f'(5) = 11$. Then:
Find the derivative of $f(x) = 1 + x + x^{2} + x^{3} + \dots + x^{50}$ at $x = 1$.
Easy
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If $y = \sin(2 \sin^{-1} x)$, then $\frac{dy}{dx} = \dots$
DifficultMHT CET 2026
View SolutionIf $f(x)=3 e^{x^2}$ then $f^{\prime}(x)-2 x f(x)+\frac{1}{3} f(0)-f^{\prime}(0)=$
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