Question

Differentiate sec²x + csc²y =4

Answer 1

$\frac{d}{dx} ( {sec}^{2} x) + \frac{d}{dx} ( {cosec}^{2} x) = \frac{d}{dx} (4)$

$2secx \frac{d}{dx} (secx) + 2cosecx \frac{d}{dx} (cosecx) = 0$

$2secx \: secxtanx \: + 2cosecx \: cotx$