Calculus: This is all the info I have, I am not sure how to go about this problem.

hharleyyqquinn said:
If h(x) = square root 5 + 4f(x), where f(3) = 5 and f '(3) = 4

Find h'(3)
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You have:

h(x) = √5 + 4 * f(x)

h'(x) = ?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
hharleyyqquinn said:
I tried to input 3, but I got the square root of 17 which is wrong. I also tried to input 4
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Is your:

\(\displaystyle h(x) \ = \ \sqrt{5 \ + \ 4 * f(x)} \)

or

\(\displaystyle h(x) \ = \ \sqrt{5} \ + \ 4 * f(x) \)

Did you follow the hint provided in response #2?

Did you find h'(x)?
 
hharleyyqquinn said:
For this question I am supposed to find h’(3). Do I need to find h’(x) first? I am not sure how
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Yes ... you have to find h'(x) first then calculate h'(3).

Are you saying that you have not been taught differentiation of a function?
 
h' is just any function. Do not think yet that it is the derivative of h.
To find h'(3) you need to plug in 3 into the h' function! You can't do that until you know what the h' function is.


For example, what is g(7)?? Can you do this? No, because you do not know what the g function is!
 
We are not even sure what the function is. SK asked you to clarify that in post 4.

What may be confusing you is that you do not know what f(x) is. You do not need to know. Just differentiate h(x).
 
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