for f(x) = sin^4(2x) + cos^4(2x), i am doing it right I am just deriving it wrong? i should derive each part then add together..if so would the answer be8sin^3(2x)cos(2x) - 8cos^3(2x)sin(2x)
for f(x) = [ ((3x^2 -2)^5) - 1 ] ^5
i get
f'(x) = (150x)(3x^2 - 2)^24another one I am sketched on
f(x)...
here is what i get
f(x) = sin^4(2x) + cos^4(2x)
f'(x) = [ (4sin^3(2x) (cos^4(2x)) (2) ] + [ (4cos^3(2x) (-sin(2x)) (2) ]
= 8sin^3(2x)cos^4(2x) + -8cos^3(2x)sin(2x)
another question - this one i get a different answer than my friend
f(x) = [ ((3x^2 -2)^5) - 1 ] ^5
i get...
id like some help deriving certain functions using the chain rule
the way our teacher does it is different from what the textbook says
he derives the outermost functions before getting to the innermost functions, this is where
i get confused =(
for example
f(x) = sincos(5x)
i get...