Calculus:

for this, I only need letters c, e, and f.

3.f(x) =x2-3V5x2 a] Find the derivative. b) Evaluate f ' (2) c) Evaluate f (2) (1] Draw the tangent line at x = 2 e] Write the equation of the tangent line to 16' the function at x = 2 12- y: f] Compare the yvalue for the tangent line at x = 2.1 to the y-value of the original function atx = 2.1 Original function, f (2.1) z Tangent line, L(2.1) z -12. Summarize Concepts: 1. The derivative of a function tells you the of the function's tangent line at any given point. 2. The notation f '(3) means the of the function, evaluated atx = 3. Suppose you are told that a given function f (x) has the tangent line y = ix + 5 at the point (2,6). Then what is f'(2)? f'(2) = What is f(2)? f(2) = 4. Evaluate the following simple derivatives: 1 5. Explain why the derivative of f (x) = V1 3x is not equal to 2m