Question

Assume f is a differentiable function whose graph passes through the point (1,4). If g(x) = f(x2) and the line tangent to the graph of f at (1,4) is y = 3x - 1, determine each of the following:

a) g(1)

b) g,(x)

c) g,(1)

d) Find an equation of the line tangent to the graph of g when x = 1.

Answer 1

is that supposed to be x^2?

Answer 2

yes

Answer 3

It is x^2