# Let's Differentiate

Calculus Level 4

$\large y = \left[(\log_{\cos x} \sin x) \cdot (log_{\sin x} \cos x)^{-1} + sin^{-1} \left( \dfrac{2x}{1 + x^2}\right)\right]$

Find the derivative with respect to x of the above function at $$x = \dfrac{\pi}{4}$$

Details:

• You may use calculator for the final calculations.
• Use $$ln 2 \simeq 0.7$$ and $$\pi \simeq 3.1$$
• Put the answer upto 2 decimal places.
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