# differential of y=10√x-e^2xWatch

#1
what is the differential of y=10√x-e^2x

is it y'=5x^-0.5-e^(2x)?
0
quote
9 years ago
#2
(Original post by ltorrington)
what is the differential of y=10√x-e^2x

is it y'=5x^-0.5-e^(2x)?
No

0
quote
9 years ago
#3
y'=5x^-0.5-e^(2x)?
almost, wrong for the -e^2x
you do this:
d(-e^2x)/dx = -e^2x * (d(2x)/dx)
" " = -2e^2x

It's by chain rule, differentiate the whole thing, and then differentiate the exponent (Power), and multiply the whole things by that.
0
quote
#4
thanks =] , just couldn't remember about what to do with the e
0
quote
9 years ago
#5
(Original post by ltorrington)
what is the differential of y=10√x-e^2x

is it y'=5x^-0.5-e^(2x)?
do you mean or ?
0
quote
9 years ago
#6
(Original post by ltorrington)
thanks =] , just couldn't remember about what to do with the e
More generally, again due to chain rule, we find that where is some function of .

For example,

And also,
0
quote
X

new posts

Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### University open days

• University of Lincoln
Mini Open Day at the Brayford Campus Undergraduate
Wed, 19 Dec '18
• University of East Anglia
Fri, 4 Jan '19
• Bournemouth University
Wed, 9 Jan '19

### Poll

Join the discussion

Yes (199)
27.95%
No (513)
72.05%