1. Find an equation of the tangent line to the graph of x^2 +
4xy +...
1. Find an equation of the tangent line to the graph of x^2 +
4xy + y^2 =13 at point (2,1), by using implicit
differentiation.
Solutions
Expert Solution
First, by differentiating the equation with respect to
x(Implicitly), we will get the slope, dy/dx= m=-4/5. Then the
equation of the tangent line at (2,1) is given by
y-1= (-4/5)(x-2). The step by step explanatory solution is
provided below.
1. Find the equation of the tangent line to the graph of ?(?) =
1 + ? + ???? at ? = 0. 4.
2. Find the equation of the tangent line to the graph of ?(?) =
(?+1)/ (?−1)at ? = 0. 5.
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
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.
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.
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.