MHB Which AP Practice Question Choice Did You Select?

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Ap
Click For Summary
The discussion centers around a practice AP question where the answer choices did not include the correct option. A participant struggled with understanding the functions involved and initially selected option D. However, after applying the chain rule to the function h(x) = f(g(x)), they correctly calculated h'(1) to be 15, corresponding to option B. The conversation highlights the importance of correctly applying calculus principles to solve such problems. The participant expressed gratitude for the clarification but noted the absence of a thanks button.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
View attachment 2214

this is a practice AP question but the answer is not given from the A to E selection
had a hard time with this not knowing what the functions were so just using what was given I did this (bold mine) I chose (D). It appeared that some of what was give was not needed...
 
Physics news on Phys.org
We are given:

$$h(x)=f\left(g(x) \right)$$

Thus, by the chain rule, we find:

$$h'(x)=f'\left(g(x) \right)\cdot g'(x)$$

So, plug in $x=1$, and what do you find?
 
MarkFL said:
We are given:

$$h(x)=f\left(g(x) \right)$$

Thus, by the chain rule, we find:

$$h'(x)=f'\left(g(x) \right)\cdot g'(x)$$

So, plug in $x=1$, and what do you find?

$$-5\cdot-3 = 15$$ which is $$(B)$$
 
Correct! (Star)
 
thanks
don't see the thanks button tho?
 
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...

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
20
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 21 ·
Replies
21
Views
1K