Right option is (c) \(\left |\frac{2}{5^{\frac{3}{2}}} \right |\)
The explanation: The expression as we know is
k=\(\left |\frac{f”(x)}{(1+[f'(X)]^2)^{\frac{3}{2}}} \right |\)
Substituting f(x)=x^2+2x+1 we have
k=\(\left |\frac{2}{(1+[2x+2]^2)}^{\frac{3}{2}} \right |\)
Put x=0 to get
k=\(\left |\frac{2}{(1+[2]^2)^{\frac{3}{2}}} \right |\)
k=\(\left |\frac{2}{5^{\frac{3}{2}}} \right |\)