Find dy/dx where 𝑥2 +4𝑥𝑦+4𝑦=1

Asked by aditya.nagpal7 | 18th Mar, 2020, 11:25: AM

Expert Answer:

TO find dy/dx when x2+4xy+4y=1
D i f f e r e n t i a t i n g space w. r. t space x comma space w e space h a v e
2 x plus 4 x fraction numerator d y over denominator d x end fraction plus 4 y plus 4 fraction numerator d y over denominator d x end fraction equals 0
rightwards double arrow x plus 2 x fraction numerator d y over denominator d x end fraction plus 2 y plus 2 fraction numerator d y over denominator d x end fraction equals 0
rightwards double arrow x plus 2 y plus 2 open parentheses x plus 1 close parentheses fraction numerator d y over denominator d x end fraction equals 0
rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator negative x minus 2 y over denominator 2 open parentheses x plus 1 close parentheses end fraction

Answered by Renu Varma | 18th Mar, 2020, 12:00: PM