What is the slope of y^5+3x^2y^2+5x^4=49,(-1,2) ?

The slope of y^5+3x^2y^2+5x^4=49,(-1,2) is 11/23

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slope of y^5+3x^2y^2+5x^4=49,(-1,2)

slope

y^{5} + 3 x^{2} y^{2} + 5 x^{4} = 49, (- 1, 2)

\frac{11}{23}

Solution steps

y^{5} + 3 x^{2} y^{2} + 5 x^{4} = 49

Use implicit differentiation to find the slope of

y^{5} + 3 x^{2} y^{2} + 5 x^{4} = 49

Implicit Derivative

\frac{d y}{d x}

y^{5} + 3 x^{2} y^{2} + 5 x^{4} = 49 : \frac{- 20 x ^{3} - 6 x y ^{2}}{y ( 5 y ^{3} + 6 x ^{2} )}

\frac{- 20 x ^{3} - 6 x y ^{2}}{y ( 5 y ^{3} + 6 x ^{2} )}

Find the slope at

(- 1, 2) : \frac{11}{23}

\frac{11}{23}

(- 5.3) (- 1.5)

x \to 5 lim (5 x + ∣ x - 5 ∣)

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{- t}

y^{^{'}} = (t y^{2} - 1) y, y (1) = \frac{1}{2}

\int 1 - e^{3 x} d x

What is the slope of y^5+3x^2y^2+5x^4=49,(-1,2) ?
The slope of y^5+3x^2y^2+5x^4=49,(-1,2) is 11/23