What is the derivative of 3^x ?

Ashley Bell 2021-12-14 Answered
What is the derivative of 3x ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

abonirali59
Answered 2021-12-15 Author has 35 answers
Begin by letting y=3x
now take the ln of both sides.
lny=ln3xlny=xln3
differentiate implicitly with respect to x
1ydydx=ln3
Now y=3xdydx=3xln3
This result can be generalised as follows
ddx(ax)=axlna

We have step-by-step solutions for your answer!

psor32
Answered 2021-12-16 Author has 33 answers
Explanation:
ddx(3x)
=ddx(exln(3) (since ab=ebln(a))
=ddx(xln(3))dd(xln(3))(exln(3))
=ln(3)exln(3)
=ln(3)3x

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions