I have to understand step by step how to navigate Chapter 3.1 Derivatives of Polynomials and Exponential Functions. However, I don't understand how to get a tangent line from a Y=f (x) if x=a, then use that to find f '(a).
I'm given the following:
Find equations of the tangent line and normal line to the curve at the given point.
Y = X^4 + 2e^x (0,2)
Please explain this step by step.
Answer: Tangent Y = 2X + 2
Normal Y = -(1/2)X + 2
The slope of the tangent line is given by the derivative of y at x=0. Since
we know ...
This shows how to find equations of tangent line and normal line to a given curve.