Question

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

Answer #1

Consider the following. y = 6x^4 − 5x − 1/4 − x^2
A)Find the value of y when x = 1.
y(1) =
B Find dy/dx .
dy/dx =
C Find the exact value of dy/dx when x = 1.
dy/dx =
D Write the equation of the tangent line to the graph of y = 6x4
− 5x − 1 4 − x2 at x = 1. Check the reasonableness of your answer
by graphing both the function and...

let f(x) = sqrt x^4+4x+4.find the equation of the tangent line
to the graph of f −1(a) when a = 3

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.

Consider the function: h(x)= x^2+(9/2)x+9. Out of all the lines
tangent to the graph
of h(x), there’s only one that’s perpendicular to the line that’s
given by y= -4x+14.
How can I write the equation of that line tangent to h(x) that is
perpendicular to
y= -4x+14? Explain each step and show all your work.

1. Find the equation of the tangent line to the graph of ?2? −
5??2 + 6 = 0 at (3,1).
2.. Find the equation of the normal line to the graph of sin(??) =
? at the point (?/2 ,1).
3.. Find the equation of the tangent line to the graph of cos(??) =
? at the point (0.1)
Find implicit differentiation of dy/dx
a) xy=x+y
b) xcosy=y
c)x^3 +y^2=0

Find the equation of the tangent line to the graph of y = e x
2−1 at the point (1, 1)

Write the equation ( in terms of x and y) of the tangent line to
the curve r = 2sintheta at theta = pi/3
y= ?
I keep getting y = (sqrt(3)/5) * (x - 0.1732050808) + 0.3

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 .

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 =

3. Consider the equation:
x^2y −√y = 2 + 4x^2
a) Find dy/dx using implicit differentiation. b)Construct the
equation of the tangent line to the graph of this equation at the
point (1, 9)

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