Question

Find the slope of tangent to the curve y = 2x¹-x² +3 at (1/2,2)​

Answer 1

2

+3sinx

dx

dy

=4x+3cosx

(

dx

dy

)

(0,0)

=4×0+3cos0=3

So, the equation of the normal at (0,0) is :

y−0=−

3

1

(x−0)

x+3y=0