Question

Find the general expression for the slope of a line tangent to the curve of y = x^2 + 2 at the point P(x1, f(x1)) Then find the slopes for x = 2 and x = -3 Sketch the curve and the tangent lines.

Answer #1

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

Slopes of tangent lines: Find the slope of the
lines tangent to the following polar curve at the origin.
r = sin(3θ).

Find an equation of the tangent line to the curve at the given
point. A) y = 6x + 3 cos x, P = (0, 3) B)y = 8 x cos x P = \(pi ,
-8 pi)
B)Find an equation of the tangent line to the curve at the given
point.
y = 8 x cos x
C)
If H(θ) = θ cos θ, find H'(θ) and H''(θ).
find H'(
θ)
and H"(θ)

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)

calculate the slope if Line tangent to the curve y= 3x2-9x+5 at
point x=3

Find the slope of the tangent line to the cuve sqrt(7x+y) +
sqrt(3xy) = 11 at the point (3,4).
The slope of the tangent line to the curve at the given point
is:

. 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.

a) Find the equation of the tangent line to the curve x= 2sin2t,
y= 3sint at the point where the same.
b) Find the points on the curve x= t^2-t+2, y=t^3-3t where the
tangent is horizontal.

Find an equation of the tangent line to the curve at the given
point.
y = sec(x), (π/3, 2)

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...

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