Question

What is the value of ( frac{d y}{d x} ) at the point ( P(1,0) ) for the curve ( y=y(x) ) given by [ cos left(y^{2} ight)+y^{3}+x^{2}+4 x y=2 ? ] (a) -4 (b) -2 (c) -1 (d) ( -frac{1}{2} ) (e) ( quad-frac{1}{4} )

          What is the value of ( frac{d y}{d x} ) at the point ( P(1,0) ) for the curve ( y=y(x) ) given by
[
cos left(y^{2}
ight)+y^{3}+x^{2}+4 x y=2 ?
]
(a) -4
(b) -2
(c) -1
(d) ( -frac{1}{2} )
(e) ( quad-frac{1}{4} )

$What is the value of ( fracd yd x ) at the point ( P(1,0) ) for the curve ( y=y(x) ) given by [ cos left(y^2 ight)+y^3+x^2+4 x y=2 ? ] (a) -4 (b) -2 (c) -1 (d) ( -frac12 ) (e) ( quad-frac14 )$

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Integral Calculus IIT JEE

Amit M Agarwal 2018 Edition

Chapter 4

Instant Answer

Solved by Expert Melissa Munoz

05/25/2023

Step 1

To do this, we will differentiate both sides of the equation with respect to x, using the chain rule and product rule when necessary. Differentiating both sides with respect to x, we get: \[-2y\sin(y^2)\frac{dy}{dx} + 3y^2\frac{dy}{dx} + 2x + 4y\frac{dy}{dx} + Show more…

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