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find dy/dx when y= e^(ax) . sec x . log x/ sqrt(1 – 2x)

find dy/dx when
y= e^(ax) . sec x . log x/ sqrt(1 – 2x)

Grade:12

2 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago

y= e^(ax) . sec x . log x/ sqrt(1 – 2x)

Taking eaxsecx as first function andlog x/ sqrt(1 – 2x) as second function we use the product rule

dy/dx=eaxsecx.[{√(1-2x).(1/x)-logx.(1/2√(1-2x) )(-2)}/(1-2x)]+

logx/√(1-2x){eaxsecxtanx+secxeax.a}

Now on simplification you get desired result.

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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