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Combine the Terms Y And yy ^ { \prime } Into the Derivative of a Product

question 55

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Combine the terms y and yy ^ { \prime } into the derivative of a product: ytant+ysec2t=1y ^ { \prime } \tan t + y \sec ^ { 2 } t = 1 .
Is this derivative correct: ddt[ytant]=1\frac { \mathrm { d } } { \mathrm { dt } } [ \mathrm { y } \tan \mathrm { t } ] = 1 ?


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