What is implicit (dy)/(dx),e x/y =8x-y ?

The answer to implicit (dy)/(dx),e x/y =8x-y is (dy)/(dx)=(8y^2-ey)/(-ex+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),e x/y =8x-y

implicit derivative

\frac{d y}{d x}, e \frac{x}{y} = 8 x - y

\frac{d y}{d x} = \frac{8 y ^{2} - ey}{- e x + y ^{2}}

Solution steps

e \frac{x}{y} = 8 x - y

Treat

y

y (x)

Differentiate both sides:

\frac{e ( y - x \frac{d y}{d x} )}{y ^{2}} = 8 - \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{8 y ^{2} - ey}{- e x + y ^{2}}

\frac{d y}{d x} = \frac{8 y ^{2} - ey}{- e x + y ^{2}}

25 y^{^{'''}} + 40 y^{^{''}} + 16 y^{^{'}} = 0

\frac{d}{d x} (3 arcsin (x^{3}))

\frac{d}{d x} (e^{2 x} (2 - x))

\int \frac{3 x ^{2} - 2}{x ^{2} - 4 x - 12} d x

\frac{d}{d x} (arcsin (x^{100}))

What is implicit (dy)/(dx),e x/y =8x-y ?
The answer to implicit (dy)/(dx),e x/y =8x-y is (dy)/(dx)=(8y^2-ey)/(-ex+y^2)