AP CALC AB :: WORKED OUT PROBLEMS :: PROBLEMS IV :: Please refer to the image below for a step-by-step work out of problems. We will go over it during next lunch tutoring session :
1) f and g are differential functions with the values given in the table below x f(x) g(x) f'(x) g'(x) ------------ 2 5 5 e sq root 2 5 2 8 pi 7 If h(x)=f(g(x)), write an expression for h'(x) and use it to find h'(2).
2) The volume if a spherical ball is increasing at a rate of 1 cubic cm per second. At what rate is the radius increasing when the the radius of the ball is 10 cm.