OVS $-$ Small

Thinking

$27.$ Differentiate the following: $(2$ marks each$)$

a$)y=4^x$

b$)y=5x{e}^x$

c$)y=6co{s}^3(2x)$

d$)y=sin(x-x^2)-cos(\frac{3}{x})$

e$)y=e^{cos(x)}sin(2x-1)$

$28.$ The displacement of an object attached to the end of a spring can be modelled by the function $h(t)=2\mathrm{.}4cos(12t\frac{}{6}),$ where $h$ is the height of the object from the floor, in centimetres, and $t$ is the time, in seconds. Determine the acceleration of the object at time $t.(3$ marks$)$