Find the equation of
the tangent line at x=2 to the graph of
y= x^2-x-7
Write your answer as a
simplified slope-intercept equation y=mx+b.
For
example y=7x-8
Write the equation of the tangent line to the graph of ?(?) =
(2)/(3−?) at the point where x = 4. You must use the limit
definition for any derivatives and show each process by step. Use
proper notation.
(b) Find the equation of
the tangent line to the curve
8x^2y^3-5x^2+7y^3=10(x-3y)
, at the point (2,-2).
(c) Given
T''=6x^2y^3-cosx+5y^2-siny+10x^2-e^-3x
; determine:
T'=∫(T'')∂x
T'=∫(T'')∂y
(d) Solve the equation cosecxcosydy-10xdx=0 ,
separably.
1. Find the equation of the line tangent to the curve y=2x^2 +
sin4x at x= π/3.
2. Determine the point(s) where the tangent line to y= 2sinx-4x
has a slope of-3 in the domain 0≤x≤ 2π.
b) Find the equation of the tangent line.
a. Write the equation of the tangent line to y = -2x^2+5
b. What does the slope of the tangent tell you about the
line?
c. Find the equation of the tangent at the point x= -1
d. What does the slope of the line in part c. tell you about the
original function?