asked 2021-09-20

Compute \(\displaystyle\triangle{y}\) and dy for the given values of x and \(\displaystyle{\left.{d}{x}\right.}=\triangle{x}\)

\(\displaystyle{y}={x}^{{2}}-{4}{x},{x}={3},\triangle{x}={0},{5}\)

\(\displaystyle\triangle{y}=???\)

dy=?

\(\displaystyle{y}={x}^{{2}}-{4}{x},{x}={3},\triangle{x}={0},{5}\)

\(\displaystyle\triangle{y}=???\)

dy=?

asked 2021-11-17

Compute \(\displaystyleÎ”{y}\) and dy for the given values of x and

\(\displaystyle{\left.{d}{x}\right.}=\triangle{x}\)

\(\displaystyle{y}={x}^{{2}}-{5}{x},\ {x}={4},\ \triangle{x}={0.5}\)

\(\displaystyle{\left.{d}{x}\right.}=\triangle{x}\)

\(\displaystyle{y}={x}^{{2}}-{5}{x},\ {x}={4},\ \triangle{x}={0.5}\)

asked 2021-12-12

Find \(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}\) and \(\displaystyle{\frac{{{d}^{{2}}{y}}}{{{\left.{d}{x}\right.}^{{2}}}}}.\ {x}={e}^{{t}},\ {y}={t}{e}^{{-{t}}}\) For which values of t is the curve concave upward?

asked 2021-09-11

Find \(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}\) and \(\displaystyle{\frac{{{d}^{{2}}{y}}}{{{\left.{d}{x}\right.}^{{2}}}}}.{x}={e}^{{t}},{y}={t}{e}^{{-{t}}}\). For which values of t is the curve concave upward?

asked 2021-05-03

Find \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}.x=e^t,y=te^{-t}\). For which values of t is the curve concave upward?

asked 2021-11-18

If \(\displaystyle{y}={\left({\frac{{{x}}}{{{x}+{1}}}}\right)}^{{{5}}}\), then \(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}=\)

asked 2022-01-17

Solve the following equation?

\(\displaystyle{\left({x}-{2}{x}{y}-{y}^{{{2}}}\right)}{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}+{y}^{{{2}}}={0}\)

\(\displaystyle{\left({x}-{2}{x}{y}-{y}^{{{2}}}\right)}{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}+{y}^{{{2}}}={0}\)