+91-9566306857  (or)  +91-9176170648

Ask Questions, Get Answers


Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$

This question has multiple parts. Therefore each part has been answered as a separate question on

1 Answer

  • Let $y=f(x)$ be a differentiable function then the quantities $dx$ and $dy$ are called differentials.The differential $dx$ is an independent variable.
  • The differential $dy$ is then defined by $dy=f'(x)dx(dx \approx \Delta x)$
  • Also $f(x+\Delta x)-f(x)=\Delta y =dy $ from which $f(x+\Delta x) $can be evaluated
Step 1:
Given $y=1-x^2$
Step 2:
When $x=5,dx=\large\frac{1}{2}$
$dy=-2(5) \large\frac{1}{2}$$=-5$
answered Aug 12, 2013 by meena.p

Related questions