Find the first derivatives and the indicated values of the derivatives. a. y = f(x) = 9
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Find the first derivatives and the indicated values of the derivatives.
a. y = f(x) = 9 + 6x. Find f ¢(0), f ¢(2), f ¢(12).
b. y = f(x) = (2 + x)(3 - x). Find f¢(-2), f ¢(3), f ¢(6).
c. y = f(x) = (x - 2)/(x2 + 4). Find f ¢(-4), f ¢(0), f ¢(2).
d. y = f(x) = [(x - 1)/(x + 4)]3. Find f ¢(-2), f ¢(0), f ¢(2).
e. y = f(x) = 2x2 - 4/x+ -3 . Find f ¢(1), f ¢(5), f ¢(10).
f. y = f(x) = 3logex - (3–4)logex. Find f ¢(0), f ¢(1), f ¢(100).
g. y = f(x) = 6ex. Find f ¢(-1), f ¢(0), f ¢(1), f ¢(2).
h. y = f(x) = x4 - 2x3 + 3x2 - 5x + x-1 - x-2 + 24. Find f ¢(-3), f ¢(0), f¢(3).
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