Diffrentiate `e^(log)e^((x+sqrt(x^(2)-a^(2))))`

1.	Diffrentiate `e^(log)e^((x+sqrt(x^(2)-a^(2))))`
Answer» y = e^loge^{(x +\(\sqrt{\text x^2-a^2}\) )}= x + \(\sqrt{\text x^2-a^2}\) dy/dx = 1 + \(\frac{1}{2\sqrt{\text x^2-a^2}}\times2\text x = 1 + \frac{\text x}{\sqrt{\text x^2-a^2}}\)

Answer»

y = e^loge^{(x +\(\sqrt{\text x^2-a^2}\) )}= x + \(\sqrt{\text x^2-a^2}\)

dy/dx = 1 + \(\frac{1}{2\sqrt{\text x^2-a^2}}\times2\text x = 1 + \frac{\text x}{\sqrt{\text x^2-a^2}}\)

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Diffrentiate `e^(log)e^((x+sqrt(x^(2)-a^(2))))`

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