A) \[1\le x\le 5\]
B) \[x\le 1\]
C) \[x\ge 1\]
D) all values of\[x\]
E) \[0\le x\le 1\]
Correct Answer: D
Solution :
\[\because \] \[f(x)=1-{{x}^{3}}-{{x}^{5}}\] On differentiating w.r.t.\[x,\] we get \[f(x)=-3{{x}^{2}}-5{{x}^{4}}\] \[=-{{x}^{2}}{{(3+5x)}^{2}}<0\forall x\] This shows that function is decreasing for all values of\[x\].
You need to login to perform this action.
You will be redirected in
3 sec
