Question

derivative of sin x​

Answer 1

$= = > \: \: \frac{d( \sin \: x) }{dx} \\ \\ = = > \: \: \cos \: x$

Answer 2

Use that identity to show:

sin (x + h) − sin x = Derivative of sin x

sin (x + h) − sin x = 2 cos ½(x + h + x) sin ½(x + h − x)

= 2 cos ½(2x + h) sin ½h

= Derivative of sin x

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