The tangent line to the graph of f(x) at x 1 is shown. On the tangent...

Question

Question

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

math calculus

Answer 1

Answer #1

A P(1,y) 3) o,3) AL 3-3 Sbope u=p

Answer 2

Similar Homework Help Questions

19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were...

19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 6. (b) Find the slope of the tangent to the graph of y = f(x) at x = 6. (c) Find the point on the graph of y = f(x) at x = 6. (x, y) =...
Find the slope of the line tangent to f(x) at x = 3. The graph of...

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 f'(x) and find the equation of the line tangent to the graph off at x...

Find f'(x) and find the equation of the line tangent to the graph off at x = 1. f(x) = (2+4x)(5 - 4x) f'(x)=0 y= Find the x and y coordinates of all inflection points. f(x) = x3 + 18x? What is/are the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.)...

1. Find an equation of the line that is tangent to the graph of f and...

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) =
3. Find the equation of the tangent line to the graph of f(x) = 3x" –...

3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function...

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,).)

(a) Find the slope of the tangent line to the graph of the polar curve r...

(a) Find the slope of the tangent line to the graph of the polar curve r = 1 + 2 cos θ at the point where θ = π/3 . (b) What are the x, y coordinates of the point in the curve r = 1 + 2 cos θ where θ = π/4.
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent...

Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and...

6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...

2. Find the equation of the tangent line to f(x)=- V13 - 3x at the point...

2. Find the equation of the tangent line to f(x)=- V13 - 3x at the point x = -3. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)