Question

Evaluate the slope f′(4.8) of the tangent line to the graph of f(x)=3−78x using f′(c)=limx→cf(x)−f(c)x−c. Write the exact answer. Do not round.

Answer #1

The answer sheet has two pages.it is the first pagesecond /last page

Let f(x)=22−x2f(x)=22-x2
The slope of the tangent line to the graph of f(x) at the point
(−4,6) is .
The equation of the tangent line to the graph of f(x) at (-4,6) is
y=mx+b for
m=
and
b=
Hint: the slope is given by the derivative at x=−4

refer to the graph of y=f(x)=x^2+x shown
a. Find the slope of the secant line joining(-3,f(-3)) and
(0,f(0))
b. Find the slope of the secant line joining (-3,f(-3))
and(-3+h,f(-3+h))
c . Find the slope of the graph at (-3,f(-3))
d. Find the equation of the tangent line to the graph at
(-3,f(-3))

Being f (x) = x^2 - 4x - 3, determine the slope of the line
tangent to the curve of
f (x) at the point where x =3.
VIII. Being f (x) = 5x^2 + 3x - 9, determine the slope of the
line tangent to the curve of
f (x) at the point where x = -1.
IX. Determine the equation of the line to the curve of f (x) =
x^2 - 9x , at the point where...

Let f(x)=5+3/x
a) Find f′(x)
b)Find the slope of the tangent line at x=1. Slope = f′(1)=?

. Find the slope of the tangent line to f-1 at the
point P(-1, 0) if f(x) = x+1/ x-1, and then find the
slope-intercept equation of the tangent line to the graph of
f-1 at P.

The
point (3,−1) is on a tangent line to the graph of ?^2 + 2?? + 2?^2
+ ?=0. Find the equations of those tangent lines. Provide the exact
answer in the slope-intercept form.

1. Find a function f given that the slope of the tangent line to
the graph of f at any point P(x, y) is given by y' = − 4xy x2 + 1
and the graph of f passes through the point (2, 1).
2. The world population at the beginning of 1980 (t =
0) was 4.5 billion. Assuming that the population continued to grow
at the rate of approximately 2%/year, find a function
Q(t) that expresses the world...

Write the equation of the tangent line to the graph of y = (x^2
− 16x)/(4x − x^3) at x = 4. Check the reasonableness of your answer
by graphing both the function and the tangent line

Suppose that f(x) = (2x)/((4-2x)^3)
Find an equation for the tangent line to the graph of f at
x=1.
Tangent line: y =

find the equation of a tangent line(s) to the curve with slope 5
f(x)=x^3 + 3x^2 - 4x - 12
f'(x)= 3x^2 +6x - 4

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