Question

The slope of the tangent to the curve f(x)=2^x when x is 1 is approximately 2.5?T or F

Answer 1

Given the following:

f(x) = 2^x where x = 1

If the tangent was placed in slope form the slope would equal two. Which means this statement is indeed false the slope of the tangent when x is 1 is not 2.5 but 2.

$\begin{gathered} f(x)=2^1 \\ y=2x\log =2\log (2) \end{gathered}$