What is implicit (dy)/(dx),7x^2-280x+y^2+174=0 ?

The answer to implicit (dy)/(dx),7x^2-280x+y^2+174=0 is (dy}{dx}=\frac{7(-x+20))/y

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implicit (dy)/(dx),7x^2-280x+y^2+174=0

implicit derivative

\frac{d y}{d x}, 7 x^{2} - 280 x + y^{2} + 174 = 0

\frac{d y}{d x} = \frac{7 ( - x + 20 )}{y}

Solution steps

7 x^{2} - 280 x + y^{2} + 174 = 0

Treat

y

y (x)

Differentiate both sides:

14 x + 2 y \frac{d y}{d x} - 280 = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{7 ( - x + 20 )}{y}

\frac{d y}{d x} = \frac{7 ( - x + 20 )}{y}

\frac{d}{d x} (sin (x) e^{c o s (x)})

3 t^{4}

\frac{d}{d x} ((2 x - 5) (3 - 2 x^{2}))

y = \frac{1}{x ^{2}}, (2, \frac{1}{4})

(t + 1)^{^{'}}

What is implicit (dy)/(dx),7x^2-280x+y^2+174=0 ?
The answer to implicit (dy)/(dx),7x^2-280x+y^2+174=0 is (dy}{dx}=\frac{7(-x+20))/y