Question 7 1 points Save Answer Suppose f(x)-x*3 (in this case, the\"\" symbol r

Question

Question 7 1 points Save Answer Suppose f(x)-x*3 (in this case, the"" symbol represents the exponent operator. In other words, this is a cubic function that raises the argument x to the power three). Calculate the derivative f(x)- and evaluate it at x-2, that is calculate f(2)- Notes: If you have for example f(x)-4xA5, then its derivative is 20x*4. Enter this answer as "20x*4" (i.e. without the multiplication sign " and using only the exponent symbol"A" 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).

Explanation / Answer

For a function f(x) = x^n, the derivative is f'(x) = nx^(n-1)

Question 7

f(x) = x^3

f'(x) = 3x^2

f'(2) = 3*(2^2) = 12

Question 8

f(x) = x^0.5

f'(x) = 0.5x^-0.5

f'(4) = 0.5*(4^-0.5) = 0.5*0.5 = 0.25

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