Question

. 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.

Answer #1

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**Solution:-**

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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

find the slope then find the equation of a tangent line that is
tangent to the curve f(x)=x2tan(x) at (pi, 0) (hint: use
product rule)

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...

Find the equation of the tangent line to the function
f(x)=8√(x)−6 at the point (64,58). Provide your answer in
slope–intercept form of a linear equation, y=mx+b, where m is the
slope and b is the y-intercept. Express m and b as exact
numbers.

Find the slope of the line tangent to the curve y=x^2 at the
point (-0.9,0.81) and then find the corresponding equation of the
tangent line.
Find the slope of the line tangent to the curve y=x^2 at the
point (6/7, 36,49) and then find the corresponding equation to the
tangent line.
answer must be simplified fraction

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.

Find an equation for the line tangent to the graph of
f(x)=sqrt(x)/6x−1 at the point (2,f(2)).

a) Find the equation of the tangent line to f(x) = e –x at the
point (1, e –1).
b) Find the equation of the tangent line to f(x) = 3x2 – 2x + 5 at
x = 2.

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))

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

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