What is the slope of-5y=2x
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From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:
Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).
Solve for d<em>y</em>/d<em>x</em> :
If <em>y</em> ≠ 0, we can write
At the point (1, 1), the derivative is