Answer:
The equation of tangent is y=x+0.5
Step-by-step explanation:
Given:
We need to find the equation of tangent on curve at (0,0.5)
First we find slope of tangent using differentiation at given point.
Differentiate both side w.r.t x
Put x=0 and y=0.5 to solve for y'
Derivative at given point is slope of tangent line.
Thus, Slope = 1 and point: (0,0.5)
Using point slope form to find the equation of tangent line.
Hence, The equation of tangent is y=x+0.5