Question

Find equations of the tangent lines to the curve f (x) = (2x +1)/(4x-3) that are perpendicular to the line 5x−2y+2=0. Explanation would be appreciated!

Answer #1

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...

3. Find the equation of the tangent line to the curve 2x^3 + y^2
= xy at the point (−1, 1).
4. Use implicit differentiation to find y' for sin(xy^2 ) − x^3
= 4x + 2y.
5. Use logarithmic differentiation to find y' for y = e^4x
cos(2x) / (x−1)^4 .
6. Show that d/dx (tan (x)) = sec^2 (x) using only your
knowledge of the derivatives of sine/cosine with derivative
rules.
7. Use implicit differentiation to show that...

Find the slope of the tangent line to the curve
−4x^2−3xy−2y^3=1
at the point (1,−1)(1,-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 the slope of the secant lines over the specified intervals for
the functions f(x)= -1/2x^2+2x .
a) [2,3]
b) [2,2.1]
c) Estimate the slope of the tangent line at x=2
d) Use your estimate to find the equation of the tangent line
at x=2

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 equations of ALL tangent lines to the curve x 2 + 4y 2
= 8 that pass through the point (−4, 0).
- I got to dy/dx = -x/4y Now that I have that i am stuck.

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

Find an equation of the curve whose tangent line has a slope
of
f′(x)=4x−8/9
given that the point
(−1,−7)
is on the curve.

find the derivative of the function
f(x)=(4x-3)^5(2x^2+5x-8)^2

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