I think you're supposed to use implicit differentiation.
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"Solution:Given (x^2)(e^y)+(ye^x)=4


=> 2x*e^y+x²e^yy'+ye^x+e^xy'=0


x = 2and y = 0


=>slope m= y'(x)= -4/(4+e²)



=>equation of the tangent line


Tangent Tables

Sine Cosine and Tangent are the trigonometric ratios.They are defined as the ratio of sides of a triange.For every angle we have a sine cosine and tangent values.It is arelation between angle and sides if a triangle. If the angle is in radian we can convert it to degree using , radian=degree*pi/180,pi=3.1428. Here we have sine cosine and tangent values for angles 0 to 90.
by Level 4 User (5.6k points)

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