Question

Find dy/dx if
a) ye^3x=2

Answer 1

@zepdrix

Answer 2

\[\Large\rm y e^{3x}=2\]This will be very very similar to the last one.
Start by dividing both sides by e^(3x),\[\Large\rm y=\frac{2}{e^{3x}}\]Remember your exponent rules?
One of them allows us to write the expression like this:\[\Large\rm y=2e^{-3x}\]

Answer 3

Taking a derivative from this point will be similar to the last one.
The exponential will give us the same thing back, but we need to apply the chain rule.

Answer 4

\[\Large\rm y'=2e^{-3x}(-3x)'\]

Answer 5

So what do you end up with? :d

Answer 6

-6e^-3x

Answer 7

Good good good. :)

Answer 8

Thank you @zepdrix