Mathematics - Application of Derivative Question with Solution | TestHub

$x=0\Rightarrow y=1$. Differentiating the given relation $\begin{array}{rlr}& y^{\prime }=(1+x{)}^y\left(\frac{y}{1+x}+y^{\prime }\ln (1+x)\right)+\frac{2\sin x\cos x}{\sqrt{1-{\sin }^{4}x}}& y^{\prime }(0)=1.\text{ Normal is }1.(y-1)+(x-0)=0\Rightarrow x+y-1=0\end{array}$ The distance of the origin from it is $\frac{1}{\sqrt{2}}$