Can I use Manipulate to change both a & b in the following: f = a Exp[bx]?

Questions
1

Hi all, I’m new to Mathematica and have been playing a bit. I’d like to be able to plot an exponential function and change both “a” and “b” with sliders. I thought that this:

Manipulate[ Plot[{a*Exp[b`x]}, {x, 0, 75}, PlotRange → {{0, 100}, {0, 200}}], {a, 15, 25}, {b, 0.02, 0.03}]

would do it, but it gives me a blank plot.

Any help for a newbie is appreciated!

Thanks,
Jeff

2

Almost correct: multiplication of b and x should be written as a * or as a space:

Manipulate[ Plot[{a*Exp[b x]}, {x, 0, 75},   PlotRange -> {{0, 100}, {0, 200}}], {a, 15, 25}, {b, 0.02, 0.03}]

or

Manipulate[ Plot[{a*Exp[b*x]}, {x, 0, 75},   PlotRange -> {{0, 100}, {0, 200}}], {a, 15, 25}, {b, 0.02, 0.03}]
3

Awesome, thanks!