# Tangent Line to a Curve - Page 5

Questions

- How do you find the slope of the tangent line to the curve at (1,0) for #y=x-x^2#?
- The graph of the function #(x^2 + y^2 + 12x + 9)^2 = 4(2x + 3)^3# is a Tricuspoid as shown below. (a) Find the point on the curve, above x-axis, with x = 0? (b) Find slope of tangent line to the point in part (a)?
- Sketch the parabolas #y=x^2# and #y=x^2-2x+2#, do you think there is a line that is tangent to both curves?
- Is the x-axis tangent to #y = x^3#?
- For #f(x) =4x^3+12x^2+9x+7#, what is the equation of the line tangent to #x =-3/2#?
- What is the equation of the line tangent to # f(x)=2xcos3x# at # x=pi/3#?
- What is the equation of the tangent line of #f(x)=x^4 +2x^2 # at #x=1#?
- How do you find the equation of a line tangent to the function #y=x^2+3x-1# at x=0?
- How do you find the equation of the line that is tangent to #f(x)=x^3# and parallel to the line #3x-y+1=0#?
- What is the equation of the line tangent to #f(x)=x^2 -x-9 # at #x=-1#?
- How do you find the slope of a tangent line to the graph of the function #y = 4x^2 -4x -20 # at x=3?
- How do you find the equation of the line tangent to #y = (1+2x)^2#, at (1,9)?
- What is a tangent line of a function? How do you find it?
- How do you find the equation of the tangent line to the curve #y=x^2e^-x# at (1, 1/e)?
- How do you find the tangent to y = cos x at x = pi/2?
- Can a point of discontinuity have a tangent line?
- What is the equation of the tangent line of #f(x) =sqrt(ln(sinx))# at # x = pi/4#?
- How do you find the equation of the line tangent to #y=sin(2x)# at x=pi/2?
- How do you find the equation of a line tangent to the function #y=xsqrtx# at (4,8)?
- If #(2,6)# lies on the curve #f(x) = ax^2+bx # and #y=x+4# is a tangent to the curve at that point. Find #a# and #b#?