Question

Derivative y=2(3^x)

Answer 1

\[\huge y= 2(3^x)\]

Answer 2

take logs

Answer 3

Do you know what the derivative of 3^x is?

Answer 4

ln y = ln 2(3^x)
ln y = ln 2 + x ln 3

Answer 5

Can I do product rule here?

Answer 6

\[2\frac{ d }{ dx }3^x=2(3^x*\ln3)=2\ln3*3^x\]

Answer 7

@cwrw238 would that be implicit differentiation ?

Answer 8

yes