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# Calc03_5 - x by using the quotient rule tan d x dx sin cos...

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Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2001 London Bridge, Lake Havasu City, Arizona 3.5 Derivatives of Trig Functions

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π 2 0 2 - - Consider the function ( 29 sin y θ = We could make a graph of the slope: slope 1 - 0 1 0 1 - Now we connect the dots! The resulting curve is a cosine curve. ( 29 sin cos d x x dx =
π 2 0 2 - - We can do the same thing for ( 29 cos y θ = slope 0 1 0 1 - 0 The resulting curve is a sine curve that has been reflected about the x-axis. ( 29 cos sin d x x dx = -

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We can find the derivative of tangent
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Unformatted text preview: x by using the quotient rule. tan d x dx sin cos d x dx x ( 29 2 cos cos sin sin cos x x x x x ⋅-⋅ -2 2 2 cos sin cos x x x + 2 1 cos x 2 sec x ( 29 2 tan sec d x x dx = → Derivatives of the remaining trig functions can be determined the same way. sin cos d x x dx = cos sin d x x dx = -2 tan sec d x x dx = 2 cot csc d x x dx = -sec sec tan d x x x dx = ⋅ csc csc cot d x x x dx = -⋅ π...
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Calc03_5 - x by using the quotient rule tan d x dx sin cos...

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