# How do you differentiate #g(u)=sqrt2u+sqrt(3u)#?

##### 1 Answer

#### Explanation:

If we want to use just the power rule (no chain rule) we'll rewrite

Now we can find

That is **Note** below.)

Therefore,

# = sqrt3 d/(du)(sqrtu)#

# = sqrt3 1/(2sqrtu)#

# = sqrt3/(2sqrtu)#

For

**Note**

I understand that, early on, there seem to be a lot of differentiation rules to memorize, but I suggest eventually memorizing this one also. The square root arises in many problems.

(This is largely because of the Pythagorean Theorem. If we know distances in perpendicular directions, then we use the square root to find the straight line distance.)