SOLUTION: if f(x) = {{{ln(5x^2 +1)^3}}}, then the derivative of f evaluated at x=1 equals: a) 2 b) 4 c) 5 d) 6 My guess is D (6). I graphed the function. I used my table command

Question 281944: if f(x) = , then the derivative of f evaluated at x=1 equals:
a) 2 b) 4 c) 5 d) 6
My guess is D (6). I graphed the function. I used my table command with the change in x being .1 Then I found the value of the function at 1.9 and 2.1 Since the derivative represents the slope at a particular x-value, I found the slope around 2. The slope was 5.9595, which is close to 6.
I tried to take the derivative of this function, but I got lost. Here's what I tried:

=
= then the functional value at 1 is 30/6 = 5.
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
>if f(x) = , then the derivative of f evaluated at x=1 equals:
>a) 2 b) 4 c) 5 d) 6
>My guess is D (6). I graphed the function. I used my table command with the >change in x being .1 Then I found the value of the function at 1.9 and 2.1
Why 1.9 and 2.1?
> Since the derivative represents the slope at a particular x-value,
True.
> I found the slope around 2.
Again, why a number near 2?
> The slope was 5.9595, which is close to 6.
You found the slope with the calculator? However, you're doing it there is an error. (I'll show you the actual slope at 2 later.)
> I tried to take the derivative of this function, but I got lost.
No you didn't!
> Here's what I tried:
>
>f'(x) =
>f'(x) =
>then the functional value at 1 is 30/6 = 5.
This is all totally correct! (Although I'd word it: "The value of the (first) derivative at 1 is 30/6 = 5") The answer to your problem is 5.
Again, I don't get your fixation on number near 2. They have nothing to do with the problem at hand. But FWIW,
f'(2) = which is approximately: 2.85714286
RELATED QUESTIONS
Find the Equation of a Tangent Line to f(x) = 3x^2 - 11x + 23 at the point (1,15) I've (answered by robertb)

Hi, i tried solving my assignments, please help me check if i did it right..Thanks in... (answered by Alan3354)

Find the derivative of f(x)=5x evaluated at x=2. (answered by fractalier)

The function f(x) is symmetric with respect to the origin. If f(2)=-3, then f(-2)=... (answered by Edwin McCravy)

Find all of the real zeros of the polynomial function, then use the real zeros to factor... (answered by Edwin McCravy)

Use the table to answer A-D. X | 4 | 6 | 2 | 3| 5 | 11| f (x)| 0 | 3 | 2 |6 | 10| 4... (answered by jim_thompson5910)

Suppose ∆LIN ≅ ∆ABC. 1. If LN = 3x + 19 and AC = 5x -11, what is x? For... (answered by josgarithmetic)

The function f(x) is symmetric with respect to the origin. If f(2)=-3, then f(−2)= (answered by Edwin McCravy)

If 8^1+x = 16^x , then x equals a) 1/2 b)2/7 c)1/4 d)2/3 e) 2/5... (answered by jsmallt9)