What is the tangent of 6xy^9+5xy=11,(1,1) ?

The tangent of 6xy^9+5xy=11,(1,1) is y=-11/59 x+70/59

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tangent of 6xy^9+5xy=11,(1,1)

tangent of

6 x y^{9} + 5 x y = 11, (1, 1)

y = - \frac{11}{59} x + \frac{70}{59}

Solution steps

Find the slope of

6 x y^{9} + 5 x y = 11 : \frac{d y}{d x} = \frac{- 6 y ^{9} - 5 y}{x ( 5 + 54 y ^{8} )}

Compute the slope of

6 x y^{9} + 5 x y = 11

(1, 1) : m = - \frac{11}{59}

Find the line with slope m=

- \frac{11}{59}

and passing through

(1, 1) : y = - \frac{11}{59} x + \frac{70}{59}

y = - \frac{11}{59} x + \frac{70}{59}

x \to + (- 2) lim (x - 2)

\frac{d}{d x} (4 + x)

f (x) = x 1 - x^{2}

\int_{0}^{3} π (9 - x^{2}) d x

\int_{0}^{x} 3 e^{- t^{2}} d t

What is the tangent of 6xy^9+5xy=11,(1,1) ?
The tangent of 6xy^9+5xy=11,(1,1) is y=-11/59 x+70/59