Ask questions and get helpful answers.

If f(2)=3 and f'(2)=5, find an equation of

a. The tangent line
b. The normal line to the graph of y=f(x) at the point where x=2

So I plotted (2,3) and (2,5)...but that's not getting anywhere...

Thanks

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
3 answers
  1. y = m x + b
    y = 5 x+b
    3 = 5*2 + b
    b = 3-10 = -7
    so
    y = 5 x - 7

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. quick question:

    how do you know 5 is the slope?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. that's the slope because the derivative is stated to be 5 and derivative is slope

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. Calc AB

    Suppose that f(x) is an invertible function (that is, has an inverse function), and that the slope of the tangent line to the curve y = f(x) at the point (2, –4) is –0.2. Then: (Points : 1) A) The slope of the tangent line to the curve y = f –1(x) at

  2. Calculus

    Suppose that y=f(x) = sqrt(2x), x>=0 Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f^–1(x) at x = c. You get: c = 1/8 c = 1/2 c = (1/8)^(1/3) c = (1/3)^(2/3) c = (1/2)^(1/3)

  3. Analytic Geometry

    A line Q has an equation of x+5y+5=0. Find the equation of the line that is "perpendicular" to Q an passes through (3,1). Find the equation of the line that is "parallel" to Q and passes to through (3,1). Find the equation of the line that passes through

  4. Math

    At what point of the curve y= x^4 is the normal line parallel to 2x + y = 3? Find the equation of the normal line.

  5. Calculus

    4. Given ln(x/y) + y^3 - 2x = -1. A. Find the equation of the normal line to the curve ln(x/y) + y^3 - 2x = -1 at the point (1,1). (I got -2x+3) B. Find the equation of a tangent line to the curve y=e^(x^2) that "also" passes through the point (1,0). You

  6. Derivatives?

    Given that f(-0.5)=2 and f'(-0.5)=4, use a tangent line approximation to estimate f(0). The lesson is not very clear on what a tangent line approximaton is.

  7. AP AB Calculus

    Linear approximation: Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent line to the curve at the point (4,-1) c. There is a number k so that the point (4.2,k) is on the curve. Using the tangent line

  8. I would like to understand my calc homework:/

    Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your

  9. Calculus check

    Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A

  10. Calculus

    The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 + 2xy - 3y2 = 0 ? I'll

Still need help?

You can ask a new question or browse existing questions.