SOLUTION: I need some help:
a) for the following function and values of a, find f '(a)
b) Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given v
Algebra.Com
Question 1087681: I need some help:
a) for the following function and values of a, find f '(a)
b) Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given value of a.
F(x) = ; a = -2
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
They want the derivative of F(x) at the point
( a, F(a) ) when , so the point is
( -2, F(-2) )
and F(-2) =
F(-2) =
F(-2) =
---------------------
F'(x) =
F'(-2) =
F'(-2) =
F'(-2) =
What you now have is the slope of the line
tangent to F(x) at the point ( -2, 12 )
-----------------------------------------
I can call this line and it looks like:
Now use the given point ( -2, 12 )
is the equation of the tangent
-----------------------------
check:
Here's the plots:
Looks OK
RELATED QUESTIONS
Find an equation for the line tangent to the graph of the function at a specified point.... (answered by nyc_function)
for the function f defined by f(x)=4x^2+5x+9, find the following values:
a. f(-2)=
b.... (answered by math-vortex)
Please help me solve this.
For the following function determine the values of x for... (answered by Boreal)
Let f (x) = 2x^2 + 8x-1
(a) Find the derivative f ’ of f.
(b) Find an equation of... (answered by robertb)
Find the slope and the equation of the tangent line to the graph of the function at the... (answered by MathLover1,greenestamps)
Please help me solve this
Suppose the quantity Q, in mg, of medicine in a patient’s... (answered by Theo)
There are several values of the function f(x)=-x^3+x^2-x+2. Complete the missing... (answered by stanbon)
Please help me solve this problem:
Let f be a quadratic function. The slope of the... (answered by Fombitz)
Someone please please please help me find the limits?
I did my best to describe how... (answered by stanbon,Edwin McCravy)