Solve the below:
Q1. For the following function find the value of the derivative at the specific point given using:
- the definition of the derivative
- the sum rule for derivatives
Show that both methods lead to the same result.
f(x)=-x3+3x2-2 at x=1
Q2. Find an equation to the tangent at the given point, using the Product Rule and then the Quotient Rule when determining the derivative.
Show the both these methods result in the same solution.
y= 2+x at the point (1,-3)
2-3x