Question

Use the limit definition to find the slope of the tangent line to the graph of f at the given point.f(x) = 7x + 9; (1,16)

Answer 1

Solution

Step 1

The slope of a function is given by the derivative of the slope.

$f(x\text{\rparen = 7x + 9}$

Step 2:

$\begin{gathered} f(x)\text{ = 7x + 9} \\ f^{\prime}(x)\text{ = 7} \end{gathered}$

Final answer

Slope = 7