Find the maximum and minimum value of function f(x)=x+1 x . - Vidyadip

Question

Find the maximum and minimum value of function $f(x)=x+\frac{1}{x}$.

✓

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks" from [ Question Bank ]→[ Question Bank ] — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Evaluate the definite integral $\int_0^{\frac{\pi}{4}} \tan x d x$.

Evaluate the following definite integrals:
$\int_{0}^\limits{\infty}\text{e}^{-\text{x}}\text{ dx}$

Write the value of $\tan^{-1}\sqrt3+\cot^{-1}\sqrt3$

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
${3}\sqrt{\frac{\text{d}^2\text{y}}{\text{dx}^2}}=\sqrt{\frac{\text{dy}}{\text{dx}}}$

Write the value of $\hat{\text{i}}\times\big(\hat{\text{j}}\times\hat{\text{k}}\big).$

Find which of the binary operations are commutative and which are associative.
State whether the following statements are true or false. Justify
If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a

Find $\frac{\text{dx}}{{\text{dy}}}$ in the following:
$2\text{x} + 3\text{y} = \sin\text{x}$

Verify that the function y - cos y = x (explicit or implicit) is a solution of differential equation (y sin y + cos y + x)y' = y

If $\vec{\text{b}}$ is a unit vector such that $\big(\vec{\text{a}}+\vec{\text{b}}\big).\big(\vec{\text{a}}-\vec{\text{b}}\big)=8,$ find $|\vec{\text{a}}|.$

Find the angle between the pair of lines given by
$\vec{r}=(3 \hat{i}+2 \hat{j}-4 \hat{k})+\lambda(\hat{i}+2 \hat{j}+2 \hat{k})$ and
$\vec{r}=(5 \hat{i}-2 \hat{j})+\mu(3 \hat{i}+2 \hat{j}+6 \hat{k})$.