Answer
(a) 16
(b)7+\pi
(c)46
(d)-21
Work Step by Step
(a) F`(x) = 6f`(x) − 5g`(x), F`(π) = 6(−1) − 5(2) = −16.
(b) F`(x) = f(x) + g(x) + x(f`(x) + g`(x)), F`(π) = 10 − 3 + π(−1 + 2) = 7 + π.
(c) F`(x) = 2f(x)g`(x) + 2f`(x)g(x) , F`(π)= 2(20) + 2(3) = 46.
(d) F(x) = (4 + g(x))f(x) − f(x)g(x)/(4 + g(x))^2 , F`(π) =(4 − 3)(−1) − 10(2)/(4 − 3)^2 = −21.
