6x2 − y2 = 9 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
6x2 − y2 = 9 (a) Find y' by implicit differentiation. y' = (b) Solve the...
Consider the following. cos(x) + y = 4 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =
5. Find den by implicit differentiation for the following. (a) 6x2 + 5y2 = 36 (b) 8x2 - 10xy + 3y2 = 26 (c) r4y+421-6y + 5 (d) + In y = x^y
Question 15 Use implicit differentiation to find if: x In(y + 2) + y2 = 0 дх Ay+2 + x2 y + x2 + x2 8.-(4+2) In(y + 2) x + y + y2 C. None of the answers D. (x + 2) In(x + 2) y + x2 + x2 E-(*+7+42 x + y2 + y2
Find dy/dx by implicit differentiation. 4x2 + 7xy - y2 = 3 y' =
dy Find by implicit differentiation for the following equation. x"y = 8x+6y +9
3.1 Let ex?y= 3x – 2y. (a) Find out using implicit differentiation. (b) Find the equation of tangent line to the curve eix?y2 = 3x – 2y at the point (0, -1/2).
(4 points) 8. Use partial derivatives to perform implicit differentiation to find dy if 5x® y2 + sin (z^y) = 2y4 + 3x, where y is a differentiable function of x.
Use implicit differentiation to find dy dc xy2 + y2 = 5x7
Use implicit differentiation to find the slope of the normal line of 4x2 + y2 = 8 at (1, 2).
3. Use implicit differentiation to find dy/da where 4x® - 7x*y2 = 3y - 6. Find the equation of the tangent line at the point (1, -1)