Question

Use
the limit definition of the derivative to find the equation of the
tangent line to f at x = 3 3 f(x) = 1/(x + 1) Show all of your
work

Answer #1

Consider f(x) = x2 – 8x. Find its derivative using
the limit definition of the derivative. Simplify all
steps.
a. Find f(x + h).
____________
b. Find f(x + h) – f(x).
____________
c. Find [f(x + h) – f(x)] ÷ h.
____________
d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.
____________
e. Find an equation of the line tangent to
the graph of y = x2 – 8x where x = -3. Present your
answer...

Let f(x)=3x2+10x+3.
a) Find the derivative of f(x) using the definition of the
derivative.
b) Find the equation of the tangent line at point x=−1

Use the derivative rules (shortcuts) to determine the equation
of the tangent line to
y = 0.6ex + 0.6 x2 at the point x = 0.6.

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 .

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)

use
the definition of derivative to find the derivative of
f(x)= 2*sqrt(x-7)
show work please.

use the limit definition of the derivative to find the
derivative of 3x^2-17x+4

State (precisely) the limit definition for the derivative of an
arbitrary function f(x) at the point
x0. Use the limit definition
to compute the derivative of the following
function: f(x) = 1/x^2

Answer each of the questions below. (a) Find an equation for the
tangent line to the graph of y = (2x + 1)(2x 2 − x − 1) at the
point where x = 1. (b) Suppose that f(x) is a function with f(130)
= 46 and f 0 (130) = 1. Estimate f(125.5). (c) Use linear
approximation to approximate √3 8.1 as follows. Let f(x) = √3 x.
The equation of the tangent line to f(x) at x =...

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

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