B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 + 4 y? – x² = 4 d - 4 dx d d y = Vx2 + 4 dx -y², -x² = dx' dy = (x2 + 4)2 dy 2x = 0 dx dx 2y | dy 1 (x² + 4)ż d(x² + 4) dy = 2x 2y dx dx dy 1 (x² + 4) (2x) = dy _x = - dx dx dy Vx2 + 4 y dx
B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 + 4 y? – x² = 4 d - 4 dx d d y = Vx2 + 4 dx -y², -x² = dx' dy = (x2 + 4)2 dy 2x = 0 dx dx 2y | dy 1 (x² + 4)ż d(x² + 4) dy = 2x 2y dx dx dy 1 (x² + 4) (2x) = dy _x = - dx dx dy Vx2 + 4 y dx
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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