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.