What is implicit (dy)/(dx),y=2x^2+5yx ?

The answer to implicit (dy)/(dx),y=2x^2+5yx is (dy)/(dx)=(4x+5y)/(1-5x)

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implicit (dy)/(dx),y=2x^2+5yx

implicit derivative

\frac{d y}{d x}, y = 2 x^{2} + 5 y x

\frac{d y}{d x} = \frac{4 x + 5 y}{1 - 5 x}

Solution steps

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

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 4 x + 5 (x \frac{d y}{d x} + y)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{4 x + 5 y}{1 - 5 x}

\frac{d y}{d x} = \frac{4 x + 5 y}{1 - 5 x}

\int x^{2} \cdot arctan (x) d x

\int_{1}^{x} t^{2} d t

x y - 8 y^{2} = 4, (18, 2)

5 + 2 t cos (2 t)

f (x) = 2^{2^{x}}

What is implicit (dy)/(dx),y=2x^2+5yx ?
The answer to implicit (dy)/(dx),y=2x^2+5yx is (dy)/(dx)=(4x+5y)/(1-5x)