calculus

posted by .

Consider the following.
y =
x2 − 9x
x2 + 5x
at (3, −
3
4
)
(a) At the indicated point, find the slope of the tangent line.


(b) At the indicated point, find the instantaneous rate of change of the function.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Write the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. f(x) = x7 − 7 at x = −1 7 x7
  2. calculus

    At the indicated point for the function, find the following. A graphing utility's numerical derivative feature can be used to check your work. y = (x3 + 2x)3 at x = 3 (a) Find the slope of the tangent line. (b) Find the instantaneous …
  3. calculus

    Consider the following. y = (2x2 + 5)(x3 − 25x) at (5, 0) (a) At the indicated point, find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.
  4. Math

    The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point x, 3/(7 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of …
  5. calculus - please help!

    Find the slope of the tangent line to the curve (3x+3y−27)^(1/2)+(2xy−39)^(1/2)=8 at the point (8,4).
  6. Math

    Find the equation of the tangent to the graph at the indicated point. f(x) = x^2 − 1; a = 3 and f(x) = x^2 − 8x; a = −9 whats the difference between 1 and 8x. What formula do I use and how should i solve both of these …
  7. calculus

    To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (64, 8), we know that (64, 8) is a point on the line. So we just need …
  8. calculus

    please anyone help me out Consider the following. Function Point f(x) = 5x^2 − 4, (3, 41) Find an equation of the tangent line to the function at the given point. y = Find the function values and the tangent line values at f(x …
  9. Calculus

    Sketch a graph of the parabola y=x^2+3. On the same graph, plot the point (0,−6). Note there are two tangent lines of y=x2+3 that pass through the point (0,−6). The tangent line of the parabola y=x^2+3 at the point (a,a^2+3) …
  10. Calculus AB

    Could someone please help me with these tangent line problems?

More Similar Questions