SOLUTION: 1) Let f(t)=(t^2+6t+4)(2t^2+5) f'(t)= f'(2)= 2) f(x)=4x / √8x2+5x−5. Evaluate f′(x) at x=2 f′(2) = . 3) Suppose that y=5(x2+6x)−1. F

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 1) Let f(t)=(t^2+6t+4)(2t^2+5) f'(t)= f'(2)= 2) f(x)=4x / √8x2+5x−5. Evaluate f′(x) at x=2 f′(2) = . 3) Suppose that y=5(x2+6x)−1. F      Log On

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Question 1112736: 1) Let f(t)=(t^2+6t+4)(2t^2+5)
f'(t)=
f'(2)=
2) f(x)=4x / √8x2+5x−5.
Evaluate f′(x) at x=2
f′(2) =
.
3) Suppose that y=5(x2+6x)−1.
Find dy / dx =
4) Find f′(x) if
f(x)=(4x−4)^2⋅(3x^2+7)^2.
5) Differentiate y=(x^2+5 / x^2−5)^2.
dy / dx=




.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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5.

Let and let



By the quotient rule



By the chain rule

But

So substituting back:



A little more algebra...



John

My calculator said it, I believe it, that settles it