About NUR ARINA BASILAH BINTI KAMISAN Expertise i can answer derivatives and integral questions but not so expert in answering limits,vector and infinite series.
Experience i teached calculus for foundation students at university malaya and i also teached tutorial class in university for subject differential equation when i was doing my degree.currently i'm teaching algebra for foundation students.
Education/Credentials i have degree in mathematics with education and now i'm futhering my study in master of statistics at university malaya.
Expert: NUR ARINA BASILAH BINTI KAMISAN - 8/26/2008
Question please help me to find out the derivatives of the following problems: find dy/dt a)y=sqrt1+cost^2, b)y=(1+tan^4(t/2)^3, c)y= sin^2((pi)t-2), d) y=(1+cos2t)^-4 thank you
Answer dear Ahmed,
when you derive trigonometry function,just derive it like a normal function.
a) y=[1+cost^2]^1/2
so dy/dt=1/2(1+cost^2)^-1/2*(-sint^2)*2t
simplify the equation above and you will have:
dy/dt=(-tsint^2)/[(1+cost^2)^1/2]
b)y=1+tan^4(t/2)^3
dy/dt=4tan^3(t/2)^3*sec^2(t/2)^3*3(t/2)^2
simplify the equation and you will have:
dy/dt=12(t/2)^2*sec^2(t/2)*tan^3(t/2)
c)y=sin^2((pi)t-2)
dy/dt=2sin((pi)t-2)*cos((pi)t-2)*pi
simplify the equation above and you will have:
dy/dt=2(pi)sin((pi)t-2)cos((pi)t-2)
