I'm given 3 functions I need to find f' of:
f(x) = x(3x-9)^3
f(x) = x√(2x+3)
f(x) = t^2√(t-2)
You're supposed to use the chain rule for these, but I run into a problem. For example, the second function. I start by changing the equation to x(2x+3)^1/2, I multiply x by the exponent (1/2), subtract 1 from the exponent, and then multiply by the derivative (2) to finish with x(2x+3)^-1/2. But that doesn't give the right answer. Actually, I managed to get every other problem on the assignment correct except for these ones that have a variable multiplied by a polynomial. Could anyone tell me what I've done wrong?