f(x)=(x^2-2x+1)(x^3-1) find all the x-values where the slope of the tangent line is 3
Find the slope of the line tangent to f(x) at x = 3. The graph of f(x) is shown below. Move the point on the curve to x = 3. Then plot two points on the tangent line. Finally, calculate the slope of the tangent line at x = 3. Answer 2 Points Keypad Points can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once all required points are plotted and will...
Find all values on the graph of f(x) = x + 2 sin x for 0 < 3 < 2 where the tangent line has slope 0.
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction 2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
Find the equation to the line tangent to y = 1/(x+3) where x = 2 Use the definition of derivative to find the slope, lim laws, and algebra
please Show clear work and step-by-step instructionsFind the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
5. Find the slope of the tangent line to f (x, y) = 5x + 2y - 10 at (2,5) going northeast. Then find the maximum slope and its direction 5. Find the slope of the tangent line to f (x, y) = 5x + 2y - 10 at (2,5) going northeast. Then find the maximum slope and its direction
1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
5. (6) Find the equation of the line tangent to the curve y = f(x)=x* –2x+1 at the point (2, 13) and use it to estimate f (2.01).