What is the slope of the tangent line to the exponential function?

Question

y = e^x/4

Point: (0,1)

Answer 1

By definition, the slope of a function at the point (x,y) is the derivative of the function at that point.

Therefore, the slope of the tangent line for y =e^x/4 is:

y'=(1/4)e^x/4 therefore, the slope = (1/4)e⁰ = 1/4 = .25