Question

Find the equation of the tangent line to the graph of the given
function at the given value of x:

f(x)= (x^2 +12)^3/4 where x=2. please show work .

Answer #1

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Find the equation of the line tangent to the graph of the given
function at the point with the indicated x-coordinate.
f(x) = (x0.5 + 8)(x2 + x); x = 1

Find an equation for the tangent line to the graph of the given
function (-2,-1)
f (x)= x^2 - 5

1.) Find the equation of the tangent line to the graph of the
function f(x)=5x-4/2x+2 at the point where x=2
2.) Find the derivative: r(t)=(ln(t^3+1))^2

Find an equation of the line that is tangent to the graph of
f and parallel to the given line.
Function
Line
f(x) = x2
6x − y + 9 = 0

Find the equation of the tangent line to the graph of the
function f(x)=cot2x at the point (π/4,0).

Find an equation of the tangent line to the graph at the given
point.
3(x2 + y2)2 =
100(x2 −
y2), (−4, 2)
Use Maple to create a graph of the curve together with its
tangent line at the given point. Include a title and labels on the
axes.

Let
fx=x2+12x-3
Find the equation of the line tangent to the graph of
f(x) at x=3
Find the value(s) of x where the tangent line is
horizontal.
2.The total sales of a video game months after being introduced
is given by the function
St=5ex2+ex
Find
S(10) and S'(10). What do these values represent
in terms of sales?
Use these
results to estimate the total sales at t=11 months after
the games release.

Find the equation(s) of the tangent line(s) to the graph of
the indicated equation at the point(s) with the given value of x.
xyminus13xplus16equals0; xequals4
Find the equation(s) of the tangent line(s) to the graph of
the given equation at
xequals=33.
nothing
(Type an equation. Use a comma to separate answers as
needed.)

f(x)=1/2x ln x^4, (-1,0)
a) find an equation of the tangent line to the graph of the
function at the indicated point.
b) Use a graphing utility to graph the function and its tangent
line at the point.

1. Let f(x)=(x^2+1)(2x-3)
Find the equation of the line tangent to the graph of f(x) at
x=3.
Find the value(s) of x where the tangent line is horizontal.
2. The total sales S of a video game t months after being
introduced is given by the function
S(t)=(5e^x)/(2+e^x )
Find S(10) and S'(10). What do these values represent in terms
of sales?
Use these results to estimate the total sales at t=11 months
after the games release.

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