Question

The differential of the function y=(x^2+9)^3 is

dy=_________ dx.
When x=3 and dx=005, the differential dy=_________

Answer 1

dy = 3(x^2+9)^2 * 2x dx = 6x(x^2+9)^2 dx

dy = 6(3)(18^2)(1/200) = 729/25 = 29.16