Hello, in my Math Class i was taught that d/dx(e^x) = e^x. This calculator is adding *ln(e) why would that be?
Also d/dax(e^(a*x)) = e^(a*x)*ln(e) but d/dx(e^(3*x))= 3e^(3x)*ln(e)
So shouldn´t d/dax(...) be a*e^(a*x)*ln(e) ?
ln(e) = 1 so it needn't be there, (shouldn't be there). It looks like it's a ' feature ' of your calculator.
In the middle line, the first derivative is wrt ax, the second simply wrt x, it isn't that you are simply replacing a by 3.
On the third line, study the effect of replacing ax by the variable y (=ax), ie. d/dy(e^(y) )= e^(y).
ln(e) = 1 so it needn't be there, (shouldn't be there). It looks like it's a ' feature ' of your calculator.
In the middle line, the first derivative is wrt ax, the second simply wrt x, it isn't that you are simply replacing a by 3.
On the third line, study the effect of replacing ax by the variable y (=ax), ie. d/dy(e^(y) )= e^(y).