Which of the following solution is correct? Why? B. What is the derivative of y with respect to x if y2 - x² = 4?JustineAshleyy2 – x2 = 4y? - x2 = 4y? = x2 + 4%3Ddddx2²y = Vx2 + 4dxdydxdxdy(x² + 4)22y dx- 2x = 0dxdy1dy(x² + 4)² d(x² + 4)2y2xdx%3Ddxdy1a² + 4) (2x)dydxdxydy%3DdxVx2 + 4

Answered: Image /qna-images/answer/abf9a024-84b8-4e35-9e17-e2789bf7759b.jpg

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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x

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