Question

Suppose the line tangent to the graph of f at x=2 is y=4x+3 and suppose y=6x-1 is the line tangent to the graph of g at x=2. Find the line tangent to the following curves at x=2. a. y=f(x)g(x) b. f(x)/g(x)

Answer 1

Use the product rule: a. y'=gf'+fg'
b. y'=f'/g+f(1/g)'