SOLUTION: Find the derivative of the function with respect to x: Square root of 2-3x^2

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the derivative of the function with respect to x: Square root of 2-3x^2      Log On


   

Question 110417: Find the derivative of the function with respect to x:

Square root of 2-3x^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28d%2Fdx%29%28sqrt%282-3x%5E2%29%29 Start with the given function


%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29 Take the derivative of sqrt%28A%29 (just the outside function) to get 1%2F2sqrt%28A%29


%28d%2Fdx%29%281%2F2sqrt%282-3x%5E2%29%29%2A%28-6x%29 Now take the derivative of the inside function 2-3x%5E2 to get -6x. Multiply -6x by 1%2F2sqrt%282-3x%5E2%29%29



%28-3x%29%2F%28sqrt%282-3x%5E2%29%29 Reduce

So the derivative of sqrt%282-3x%5E2%29 with respect to x is

%28-3x%29%2F%28sqrt%282-3x%5E2%29%29