WEBVTT
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it's clear. So when you read here, so
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we're gonna use the quotient role we get seek it
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turns the derivative of tangent minus one minus tangent,
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minus one times the derivative of Seek it all over
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secrets where And then we get this to the equal
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to seek in times sequence square plus zero minus 10
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times. Seek it. Times 10 all over.
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Seek and square Using our trig identities. We're gonna
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expand this so we get a second, learns vengeance
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Square, plus seek it minus seek it. Times
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turn gents Square was seeking time. 10 gin all
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over Secret Square in this equals one plus two engines
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over sequined per p. We have Earth of X
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is equal to 10 gin minus one divided by seeking
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. So using our trig identities, this is equal
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to sign over. Co sign minus one all over
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one over coastline. We're gonna multiply out the dominators
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. We got signed minus coastline. Next, we're
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gonna differentiate in respect to X, so we're gonna
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differentiate these separately. We get derivative of Sinus co
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sign the derivative of who signed is negative sign.
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We get co sign plus sign report. See,
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we're gonna do a we're gonna take our answer,
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which is one plus tangent over Seek in our first
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derivative. And we're gonna multiply by co sign for
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the top and bottom. And when we simplify,
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we get co sign plus sign. So we proved
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it.