Recent content by carlarae

  1. C

    Finding the Value of a Derivative with Given Function and Derivative Values

    I get d/x(uv)=(2)(-2) + (7)(-7) = -53 but I'm not applying the 1 anywhere that I know of here. as in u(1), does anyone have an example that could help me?
  2. C

    Equation of the tangent line at the indicated point

    So is the derivative of x^3/4 not 3x^2/4? That will make a big difference for me to take another crack at this.
  3. C

    Equation of the tangent line at the indicated point

    Homework Statement Find an equation of the tangent line at the indicated point on the graph of the function. y=f(x)=x^3/4 , (x,y)=(6,54) Homework Equations The Attempt at a Solution I did the derivative which I get 3x^2/4 and then I plugged in the 6 and get 162. Is that the...
  4. C

    Finding the Value of a Derivative with Given Function and Derivative Values

    Homework Statement Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. u(1)=2, u'(1)=-7, v(1)=7,v'(1)=-2 d/dx (uv) at x =1 Homework Equations The Attempt at a Solution
  5. C

    What is the slope of the curve at the point (2,1)?

    Homework Statement At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested. x^6y^6=64, normal at (2,1) Homework Equations The Attempt at a Solution 64/y^6 or 6x6y=0, that's as far as I am...