54. Show that (d)/(dx)√((1 + tanh x)/(1 - tanh x)) = (1)/(2)e^x/2.

Name: 54. Show that (d)/(dx)√((1 + tanh x)/(1 - tanh x)) = (1)/(2)e^x/2.
Uploaded: 2021-10-23T06:41:50-08:00
Duration: 3 min 30 s
Channel: Suman Saurav Thakur
Description: 54. Show that (d)/(dx)√((1 + tanh x)/(1 - tanh x)) = (1)/(2)e^x/2.

Question

Suman Saurav Thakur · Accepted Answer

Step 1: Start by differentiating the given expression with respect to x using the quotient rule.

Question

54. Show that $\frac{d}{dx} \sqrt[4]{\frac{1 + \tanh x}{1 - \tanh x}} = \frac{1}{2}e^{x/2}$.

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