1064: Differentiation - \({e^x}\) - Gradients of \({a^x}\)

The graph of $\color{blue}{ f(x) = {a^x} }$ is shown in blue, together with its tangent and gradient at a sample point in red.

By considering the gradient at x = 0, 1, 2, 3, can you predict what the gradient function of $\color{blue}{ f(x) = {a^x} }$ is?