Question

f(x) = square root ( x^4 -16x^2) let f be the function given by:

a) Find the domain of f.
b) Find f '(x)
c) Find the slope of the line normal to the graph of f at x = 5

Answer 1

Domain is R. set of rational numbers.
f'(x) = 4x^3-32x
Slope of the line normal to the graph of f at x=5 would be f'(5) = 340. i.e., \[\theta = \tan^{-1} 340\]