Let f(x)= sin(x), g(x) = x and h(x) = loge(x). If F(x) = (hogof)(x), then F"(x) is equal to
a
D.
If f(x + y) = 2 f(x) f(y), f'(5) = 1024log(2) and f(2) = 8, then the value of f'(3) is
64(log(2))
128(log(2))
256
256log(2)
Gas is being pumped into a spherical balloon at the rate of 30 ft3/min. Then, the rate at which the radius increases when it reaches the value 15 ft is