f(x) = 7 ln x; estimate f '(4)
9.70
thanks
Master is incorrect
f(x) = 7 ln x
f' = 7/x
f'(4) = 7/4
thank u helper ur right
can u help with this
q(p) =
2.5
p
+ 3.2; q'(5)
In google type: calc101
When you see list of resultc click on:
Calc101com Automatic Calculus,Linear Algebra and Polynomiasls
When page be open clik option: derivatives
When this page be open in rectacangle type:
7ln[x]
and click options DO IT
You will see solution step-by-step
By the way on this site you can practice any kind of derivation.
f'(x)=7/x
f'(4)=7/4=1.75
thanks
To estimate the derivative of a function f(x) at a point x=a, we can use the concept of a limit. The derivative of a function represents the rate of change of the function at any given point.
In this case, we want to estimate the derivative of the function f(x) = 7 ln x at x = 4.
Step 1: Calculate the derivative of f(x)
The derivative of ln x is 1/x. Thus, to calculate the derivative of f(x) = 7 ln x, we multiply the constant 7 by the derivative of ln x. Therefore, f'(x) = 7 * (1/x) = 7/x.
Step 2: Substitute x=4 into f'(x)
Now, plug x=4 into the derivative expression, f'(x) = 7/x.
f'(4) = 7/4.
Therefore, the estimate for f'(4) is 7/4 or 1.75.