Find the slope m and an equation of the tangent line to the graph of the function f at the specified point. f(x) = x^2/(x + 5); (3, 9/8)

Answer 1

The critical problem is the derivative of f: (x²+10x)/(x+5)^2.

In case you forgot: downsie d upsie - upsie d downsie / downsie squared.

Put x=3 in the expression for the derivative (call it m)

Then m=[(y-(9/8)/(x-3)] is the equation you need.