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Popular >

implicit (-8x)/y =0

Solution

implicit derivative

\frac{- 8 x}{y} = 0

Solution

\frac{d y}{d x} = \frac{y}{x}

Solution steps

\frac{- 8 x}{y} = 0

Treat

y

as

y (x)

Differentiate both sides:

- \frac{8 ( y - x \frac{d y}{d x} )}{y ^{2}} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{y}{x}

\frac{d y}{d x} = \frac{y}{x}

Popular Examples

limit as x approaches 1 of x^3(5-x)

x \to 1 lim (x^{3} (5 - x))

limit as x approaches 1 of x^{1/(1-x)}

x \to 1 lim (x^{\frac{1}{1 - x}})

sum from n=1 to infinity of n(2/3)^n

n = 1 \sum \infty n (\frac{2}{3})^{n}

area y=sin(x),y=x,x= pi/2 ,x=pi area

y = sin (x), y = x, x = \frac{π}{2}, x = π

derivative of sqrt(3+5sin(x))derivative of

3 + 5 sin (x)

Frequently Asked Questions (FAQ)

What is implicit (-8x)/y =0 ?
The answer to implicit (-8x)/y =0 is (dy)/(dx)= y/x