Further Differntiation

Question 1

How to differentiate exponential

Answer 1

Diffenrtisky if an exponeitsk is just take out the fsctor from x and out to front

Thus if no factor don’t do anything

If something else in bracket then chain rule, so multiply by that

Question 2

How to differentiate wacky stuff like y = 2^x

Answer 2

This one two ways
One is implicit
2) is to make it y = e to the power of ln 2 to x

Now diffenritste by chain rule, snd eventually cancel out term

Question 3

I’m General what’s the formula to differentiate y = a^x

Answer 3

Ln a a ^x