calculate implicitly given function dyсотрutefor implicitly given function cos(xy) + 2y = x³dx

cos(xy)+2y=x3Differentiate with respect to x,-(sin(xy))y+xddx(y)+2ddxy=3x2

Answered: dy соmpute dx for implicitly given…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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calculate implicitly given function

dy
сотрute
for implicitly given function cos(xy) + 2y = x³
dx

Expert Solution

Step 1

$\cos (x y) + 2 y = x^{3} D i f f e r e n t i a t e w i t h r e s p e c t t o x, - (\sin (x y)) (y + x \frac{d}{d x} (y)) + 2 \frac{d}{d x} (y) = 3 x^{2}$

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