MHB Evaluating $f'(1)$ for $f(x)=7x-3+\ln(x)$

  • Thread starter Thread starter karush
  • Start date Start date
Click For Summary
To evaluate $f'(1)$ for the function $f(x)=7x-3+\ln(x)$, the derivative $f'(x)$ is calculated as $f'(x)=7+\frac{1}{x}$. Substituting $x=1$ yields $f'(1)=7+1=8$. The correct answer is therefore (E) 8. Typos and suggestions in the original question were noted, but the solution itself is confirmed to be correct.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
If $f(x)=7x-3+\ln(x),$ then $f'(1)=$
$(A)\, 4\quad (B)\: 5\quad (C)\, 6\quad (D)\,7\quad (E)\,8$
since
$$f'(x)=7+\dfrac{1}{x}$$
so then
$$f'(1)=7+\dfrac{1}{1}=7+1=8\quad (E)$$

ok kinda an easy one but typos and suggestions possible
 
Physics news on Phys.org
I don't see a question here. If you are asking if your solution is correct, yes it is.
 
Thread 'Problem with calculating projections of curl using rotation of contour'

Thread 'Problem with calculating projections of curl using rotation of contour'

Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
View full post »

Similar threads

MHB 2.2.1 AP Calculus Exam .... derivative with ln
  • · Replies 8 ·
Replies
8
Views
2K
MHB -apc.4.1.2 Find the slope at x=4
  • · Replies 7 ·
Replies
7
Views
2K
MHB What is the Absolute Maximum Value of f in the Function f(x) = ln(x)/x?
  • · Replies 5 ·
Replies
5
Views
2K
MHB 4.2.1 AP calc exam another int with e
  • · Replies 5 ·
Replies
5
Views
1K
MHB Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes
  • · Replies 3 ·
Replies
3
Views
1K
MHB Where are the one-sided derivatives of f(x) equal?
  • · Replies 2 ·
Replies
2
Views
1K
MHB 4.1.1 AP calculus Exam Int with U substitution
  • · Replies 3 ·
Replies
3
Views
1K
MHB 219 GRE what is the value of g'(1)
  • · Replies 3 ·
Replies
3
Views
1K
MHB What Does the Intermediate Value Theorem Guarantee for a Continuous Function?
  • · Replies 1 ·
Replies
1
Views
2K
MHB What Is the Value of the Integral $\int_0^1 xe^x \, dx$?
  • · Replies 1 ·
Replies
1
Views
1K