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If y = tanX +SinX then proov that y" = cosX/(1-sinX)^2

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2 years ago

```							Dear student dwr to x            y'= Sec^2 x + Sec x tan x = y Sec x            y” = y sec x tan x + y'sec x                =  sec x ( ytanx + y')                 = sec x ( tan^2x + sec x tan x + sec x tan x + sec^2 x)                 = sec x ( sec x + tan x )^2                 = (1/cos x)( 1+ Sin x/Cosx )^2                 = (1+Sin x)^2/ Cos^3 x                 = (1+Sin x)^2. (1-Sin x)^2/Cos^3 x (1-Sin x)^2                 = Cos^4 x / Cos^3 x (1-Sin x)^2                 = Cos x / (1-Sin x)^2.
```
2 years ago
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