Question

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.

Answer #1

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 a point of the graph of the function f(x) = e^2x such that
the tangent line to the graph at that point passes through the
origin. Use a graphing utility to graph f and the tangent line is
the same viewing window

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 the tangent line to the function f(x) =
ln(7x) at x=4.
(Use symbolic notation and fractions where needed. Let y = f(x)
and express the equation of the tangent line in terms of y and
x.)
equation:

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.

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

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.

Find an equation of the tangent line to the graph of
2x+5/(1-2x)^3 at the point (-1,1)

Find the equation of the tangent line to
f(x)=(8x^2)ln(x)−1 at x=1

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 16 minutes ago

asked 21 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 45 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago