The function f is defined for all x∈ℝ. The line with equation y=6x-1 is the tangent to the graph of f at x=4.The function g is defined for all x∈ℝ where g(x)=x2-3x and h(x)=f(g(x)).Write down the value of f′(4).

The slope of the tangent line to the graph of f at the point (1, 4) is 3. What is the slope of the graph of f at the point (1, 4)?

Use the limit process to find the slope of the graph of the function at the specified point. Use a graphing utility to confirm your result.f(x) = 2x − 6x2,    (3, −48)

Find g(x), where g(x) is the translation 6 units up of f(x)=–6|x–4|–1.

Consider the following function. f(x) = x2 + 3.5x − 6 (a) Write the derivative formula. f '(x) =

Write the equation of a line that goes through the point ( 6 ,6 ) and is parallel to the line y = 1 / 3x - 4.