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Vlada [557]
3 years ago
8

Find the derivative of the trigonometric function using the Chain Rule.y=cos✓x​

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

If <em>y</em> = cos(√<em>x</em>), then by the chain rule

d<em>y</em>/d<em>x</em> = d/d<em>x</em> [cos(√<em>x</em>)]

d<em>y</em>/d<em>x</em> = - sin(√<em>x</em>) d/d<em>x</em> [√<em>x</em>]

d<em>y</em>/d<em>x</em> = - sin(√<em>x</em>) (1 / (2√<em>x</em>))

d<em>y</em>/d<em>x</em> = - 1/2 sin(√<em>x</em>) / √<em>x</em>

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