math

using limits...finding the tangent line of the square root of x when x=2

  1. 👍 0
  2. 👎 0
  3. 👁 91
  1. Recall that at any point (x,y) on the graph, the tangent line has slope y'

    y = sqrt(x)
    y' = 1/(2sqrt(x))
    y'(2) = 1/(2sqrt2) = 0.35

    So, now we have a point (2,sqrt2) and a slope 1/(2sqrt2)

    The point-slope form of the equation gives

    y-sqrt2 = 1/(2sqrt2) * (x-2)

    If you want the usual slope-intercept form, rearrange stuff to get

    y = 1/(2sqrt2)x + 1/sqrt2

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 7th grade math Ms. Sue please

    2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? (1 point) 1 foot 2 feet 3 feet 4 feet 3. Which of these numbers can

  2. Math ~CHECK MY ANSWER~

    1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3

  3. Math

    Four students work to find an estimate for square root 27. Who is closest to finding the true estimate? (1 point) Chelsey: "Use square root 16 and square root 25 to estimate." Carley: "I use square root 25 and square root 36."

  4. math

    Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: it should be between square root 25 and square

  1. Pre-Algebra

    8. Mark needs to cut a piece of glass to replace a broken window. He has four pieces of glass: 6 feet long, 5 feet long, 3 feet long, and 7 feet long. If the length of the glass he needs to cut is square root 20 feet long, which

  2. math

    Four students work to find an estimate for square root 54. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: "I use square root 25 and square root 36."

  3. 7th grade math Ms. Sue ASAP please

    Ms. Sue, sorry to keep bugging you with questions, but can you please check my answers? Sorry, I just want to get my answers correct when i turn it in thanks! 8. Four students work to find an estimate for square root 37. Who is

  4. math

    1. Rosa, Roberto, Andrea, and Inno find an estimate for the square root of 10. Who has proposed the best solution? a. Rosa: "Use the sqaure root of 9 and the square root of 25 to estimate." b. Roberto: "I will use the square root

  1. Math Help!

    Which two square roots are used to estimate square root 67? A. Square root 36 and Square root 49. B. Square root 49 and Square root 64. C. Square root 64 and Square root 81. D. Square root 81 and Square root 100. Is the answer C?

  2. Math

    How does finding the square root of a number compare to finding the cube root of a number? Use 64 in the explanation

  3. math

    How does finding the square root [√] of a number compare to finding the cube root [little 3 on top √] of a number? Use the number 64 in your explanation. Please help me figure this out. I don't know what to do.

  4. math

    1. Which of the following numbers is a rational? A. 4/5 B. square root of 27 C. 4.02002000200002... D. Square root of 31 2. Which type of number is shown below? 0.313311333111... A. repeating decimal B. rational C. irrational D.

You can view more similar questions or ask a new question.