

2. Given f(x) = V23 - 100x + 1, find the equation of the line tangent...
Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan y = y -
Find the equation of the line tangent to the graph of f(x)=−2cos(x) at x=π4 Give your answer in point-slope form y−y0=m(x−x0). You should leave your answer in terms of exact values, not decimal approximations.
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation.
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx....
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...
Use implicit differentiation to find the equation of the tangent line at the given point. z? + x arctan y = y -2,
Find the equation of the tangent line to the graph of the function f (x) = sin (777) at the point (-2,0).
Find the equation of the tangent line to the curve at the given
point using implicit differentiation. Remember: equation of a line
can be found by y-y1=m(x-x1) where m is the slope of the line and
(x1,y1) is any point on the line.
Curve:
at (1,1)
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
1. Find an equation of the tangent line to the curve at the given point. x = ++ +1, y=+*+t at the point (2,-2). 2. Find y" by implicit differentiation. (note that a is a constant) x² + y² = a² 3. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total...