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differential of y=10√x-e^2x watch

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

is it y'=5x^-0.5-e^(2x)?
2. (Original post by ltorrington)
what is the differential of y=10√x-e^2x

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

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.
4. thanks =] , just couldn't remember about what to do with the e
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 ?
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,

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