Question

differentiate the given functions. leave your answer in the simplest factored form.
a) y = ((2x - 6) /(x+2))
b) y = (x^2+1)^2 sqrt(1-x^2)

Answer 1

for A. use product rule lowDhigh-highDlow/ lowlow (or Low)^2
hence, your answer is -2/(x+2)^2

B is the same thing. except you use product rule and chain rule where f(x) = (x^2+1)^2 and g(x) = √(1-x^2) which is the same thing s (1-x^2)^1/2
You should get something like 2(x^2+1)(2x)(√(1-x^2) + (2x)/(2√1-x^2) and just simplyfy it a little to make it neater.

Answer 2

ok....thanx

Answer 3

i got it