Suppose f(x)-xA0.5. (Again, the\"\" means the exponent sign. This means this fun
ID: 1134908 • Letter: S
Question
Suppose f(x)-xA0.5. (Again, the"" means the exponent sign. This means this functions raises any positive number to the exponent one half. This is equivalent to taking the square root of any positive number x) Calculate the derivative f(x)- and evaluate it at x-4, that is, calculate f(4) Notes: If you have for example f(x)-4x*5, then its derivative is 20xA4. Enter this answer as "20xA4" (i.e. without the multiplication sigrn " and using only the exponent symbol " if needed,_don't use the quotation marks) In the first box enter the general derivative, in the second one enter the numerical value of the derivative at the specified value for X. That is, if we are asked to calculate f(1) for the above function, you would enter simply "20" (again without the quotation marks) If your answer includes a negative exponent, put the full exponent in parenthesis. That is, if your answer is"x raised to the negative 0.4" you should write it as "xM(-0.4)" (without the quotation marks) Also, if your answer is a fraction, express it in fraction form e.g. "2/3" (without the quotation marks)Explanation / Answer
f(x) = x^0.5
f '(x)= 0.5 x^(-0.5) = 0.5 / x^0.5
If x=4, f '(4)= 0.5 / (4)^0.5
= 0.5/2
f '(4)= 0.25