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 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 the equation of the tangent line to the graph of the function f (x) = sin (777) at the point (-2,0).
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...
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 =