For the following function, find all its critical point(s) and its absolute extrema.

[ Note: If there is more than one answer enter separated by commas.]

f(x)=10sqrt(x^2+10)−3x0x14

Question

For the following function, find all its critical point(s) and its absolute extrema.

[ Note: If there is more than one answer enter separated by commas.]

f(x)=10sqrt(x^2+10)−3x0x14

anonymous · Answer

please help because i need the answer now !

anonymous · Answer

3x0x14?

anonymous · Answer

Is that a  zero-x in the second term?

anonymous · Answer

oh sorry its supposed to be 0<= x <=14

anonymous · Answer

the equation ends at ....-3x

anonymous · Answer

take the derivative.
set it equal to 0.
And solve for x to find the critical point

anonymous · Answer

Check this point by plugging it into the original equations. 
Check the boundary points 14, 0
Compare each of these and figure out which gives the biggest value.

anonymous · Answer

$$d/dx = \frac{(10 x)}{\sqrt(x^2+10)}-3 $$

anonymous · Answer

Some ugly algebra but you can soldier through it.

anonymous · Answer

can i pleaaaaase have the answer?

anonymous · Answer

x = 3sqrt(10/91) <= it's pretty ugly which makes me think you mistyped the equation