Question

asked 2021-05-17

Find the fifth derivative of the function \(\displaystyle{y}={\left({x}^{{{3}}}+{2}{x}^{{{2}}}+{3}{x}\right)}{e}^{{{x}}}\).

asked 2021-05-19

Find the directional derivative of f at the given point in the direction indicated by the angle \(\theta. f(x,y)=e^x\cos y,(0,0),\theta=\frac{\pi}{4}\)

asked 2021-05-04

Use the theorems on derivatives to find the derivatives of the following function:

\(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{5}}}-{2}{x}^{{{4}}}-{5}{x}+{7}+{4}{x}^{{-{2}}}\)

\(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{5}}}-{2}{x}^{{{4}}}-{5}{x}+{7}+{4}{x}^{{-{2}}}\)

asked 2021-05-29

Find the directional derivative of f at the given point in the direction indicated by the angle theta. \(f(x,y)=ye^{-x}, (0,4), \theta=\frac{2\pi}{3}\)