SOLUTION: Differentiate each function. Simplify all answers, with positive exponents, and with radical notation, where possible. Questions b and d must be in simplified factored form. a) y=

Algebra ->  Vectors -> SOLUTION: Differentiate each function. Simplify all answers, with positive exponents, and with radical notation, where possible. Questions b and d must be in simplified factored form. a) y=      Log On


   

Question 199632: Differentiate each function. Simplify all answers, with positive exponents, and with radical notation, where possible. Questions b and d must be in simplified factored form.
a) y=(4x^5)-(3x^2)+(x/5)+2pi
b) f(x)=(√x^4+2x^3-8)
c) f(x)=(4(x^2)^3/2)-(8(x^3)^3/2)/2
d) y=(2x-5)^4/(x+1)^3
e) y=[x^2+(2x+1)^3]^5
f) y=(√x-1)(x+1)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For a) use and the fact that the derivative of the sum is the sum of the derivatives.

For b) do the same thing, but realize that

For c) remember that and then use the same process as for a)

For d) use the quotient rule:

If where both and are differentiable and then

For e) use the chain rule:



But you will need to apply it twice working from the inside out.

For f) use the product rule:



If you want me to actually do these for you, write back and we'll talk.

John