For the function y = x ^2, if x =10 and x =0.1. Find y. - Vidyadip

Question

For the function $y = x ^2$, if $x =10$ and $\Delta x =0.1$. Find $\Delta y$.

✓

Answer

$\text{y}=\text{x}^2$
$\triangle\text{x}=0.1$
$\text{x}=10$
$\frac{\text{dy}}{\text{dx}}=2\text{x}$
$\Rightarrow\Big(\frac{\text{dy}}{\text{dx}}\Big)_{\text{x}=10}=20$
$\Rightarrow\triangle\text{y}=\text{dy}=\frac{\text{dy}}{\text{dx}}\text{dx}=20\times0.1=2$

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 "Solve the Following Question.(2 Marks)" from Differentials, Errors and Approximations→Differentials, Errors and Approximations — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $X \sim B (n, p)$ and $E ( X )=6$ and $\operatorname{Var}( X )=4.2$, then find $n$ and $p$.

Find the value of x, if:
$\begin{vmatrix}3&\text{x}\\\text{x}&1\end{vmatrix}=\begin{vmatrix}3&2\\4&1\end{vmatrix}$

Find the general solution of : $\sin \theta=\frac{\sqrt{3}}{2}$

Six coins are tossed simultaneously. Find the probability of getting.
at least one head.

Sketch the graph of inequation x ≥ 5y in xoy co-ordinate system

Show that, for any vectors $\bar{a}, \bar{b}, \bar{c}$

$(\bar{a}+\bar{b}+\bar{c}) \times \bar{c}+(\bar{a}+\bar{b}+\bar{c}) \times \bar{b}+(\bar{b}+\bar{c}) \times \bar{a}=2 \bar{a} \times \bar{c}$

Question is modified.

For any vectors $\bar{a}, \bar{b}, \bar{c}$ show that

$(\bar{a}+\bar{b}+\bar{c}) \times \bar{c}+(\bar{a}+\bar{b}+\bar{c}) \times \bar{b}+(\bar{b}-\bar{c}) \times \bar{a}$

$=2 \bar{a} \times \bar{c}$.

Write the value of $k$ for which the planes $x-2 y+k z=4$ and $2 x+5 y-z=9$ are perpendicular.

Evaluate the following integrals:
$\int\frac{1}{3\sqrt{\text{x}^2}}\text{dx}$

If $\vec{\text{a}}=3\hat{\text{i}}-\hat{\text{j}}-4\hat{\text{k}},\ \vec{\text{b}}=-2\hat{\text{i}}+4\hat{\text{j}}-3\hat{\text{k}}$ and $\vec{\text{c}}=\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}$, find $|3\vec{\text{a}}-2\vec{\text{b}}+4\vec{\text{c}}|$.

Construct the truth table for each of the following : [(~p ∨ q) ∧ (q → r)] → (p → r)