(d)Find the slopem_hof the line joining

(7,49) and (7+h,f(7+h)) in terms of the nonzero numberh. (Simplify your answer completely.)

m_h=

(e)Evaluate the slope formula from part (d) forh=1, 1, and 0.1.

h=1 m_h =

h= 1 m_h =

h= 0.1 m_h =

(f) What can you conclude the slopem_tanof the tangent line at (7,49) to be? Explain.

The slope of the tangent line at (7,49) ism_tan= ?

The slopem_happroaches the slope of the tangent line ashapproaches ?