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(14 points) If x4+y3?xy2=49x4+y3?xy2=49, find dy/dxdy/dx in terms of xx and yy.

dydx=dydx=

Using your answer for dy/dxdy/dx, fill in the following table of approximate yy-values of points on the curve near x=1,y=4x=1,y=4.

0.96 | 0.98 | 1.02 | 1.04 |

Finally, find the yy-value for x=0.96x=0.96 by substituting x=0.96x=0.96 in the original equation and solving for yy using a computer or calculator.

y(0.96)?y(0.96)?

How large (in magnitude) is the difference between your estimate for y(0.96)y(0.96) using dy/dxdy/dx and your solution with a computer or calculator?

SOLUTION:- Given that:- The function x4+y3?xy2=49 To find dydx in terms of xandy.