How do I differentiate this... (1 Viewer)

[ohexploitable]

...without differentiating exponents.



I just used the chain rule and got the right answer but this chapter is the one before differentiating exponential functions.

 

[Bored Of Fail]

...without differentiating exponents.



I just used the chain rule and got the right answer but this chapter is the one before differentiating exponential functions.

= d/dx [x log pi] ( by log rule bring power down in front )

log pi is a constant


= log pi

 

[ohexploitable]

Fuck I'm so dumb.

 

[NewiJapper]

lol.

 

[Bored Of Fail]

Fuck I'm so dumb.

yes....yes you are

 

[Bored Of Fail]

interesting to note that any function of the form y= log ( a^x) where a is any constant is actually a straight line

 

[Bored Of Fail]

dude you need to use change of base unless it was strictly specified that log[x] had a base of e (conventionally log by itself has a base of 10, lest it was written as ln)

no I dont XD

im differentiating with respect to x,

log pi is a constant, and the rule log (a^n) = n log (a) holds for all bases

if it were a function of x then yes you would need to make sure you had a base e

its just like if we were differentiating 5x , we just get 5

 

[iSplicer]

no I dont XD

im differentiating with respect to x,

log pi is a constant, and the rule log (a^n) = n log (a) holds for all bases

if it were a function of x then yes you would need to make sure you had a base e

its just like if we were differentiating 5x , we just get 5

Damn. Totally didn't see that the logarithm was the co-efficient of the variable you were differentiating with respect to - sorry about that. WHY WOULD ANYONE ASK SUCH A QUESTION

 

[Bored Of Fail]

WHY WOULD ANYONE ASK SUCH A QUESTION

for a bit of fun XD

 

[iSplicer]

for a bit of fun XD

Nah, but I understand OP's confusion. I still remember in year 11 someone was like differentiate e^pi and I was like wth and started doing heaps of working out lmao

 

[Bored Of Fail]

just trying to figure out who actually understands the material

d/dx [ e^ pi ] is easy and is just zero, but yes put that in a test and it will sort out the good from the bad

its stuff like d/dx [ 10^x ] that is harder, I will admit that I didnt get it the first time ( as im sure most people dont get it the first time ) , but once you see it once or twice you get familiar with the method