What is implicit x+5xy-2x^3=2 ?

The answer to implicit x+5xy-2x^3=2 is (dy)/(dx)=(6x^2-1-5y)/(5x)

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implicit x+5xy-2x^3=2

implicit derivative

x + 5 x y - 2 x^{3} = 2

\frac{d y}{d x} = \frac{6 x ^{2} - 1 - 5 y}{5 x}

Solution steps

x + 5 x y - 2 x^{3} = 2

Treat

y

y (x)

Differentiate both sides:

1 + 5 (y + x \frac{d y}{d x}) - 6 x^{2} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{6 x ^{2} - 1 - 5 y}{5 x}

\frac{d y}{d x} = \frac{6 x ^{2} - 1 - 5 y}{5 x}

y^{^{''}} = x sin (x) + x cos (x)

\int x (x^{2} + 3) d x

n = 0 \sum \infty (n + 1) 0. 5^{n}

sin (x + sin (4 x))

y^{^{'}} = (1 - 2 x) y^{2}

What is implicit x+5xy-2x^3=2 ?
The answer to implicit x+5xy-2x^3=2 is (dy)/(dx)=(6x^2-1-5y)/(5x)