# Tangent Line to a Curve - Page 3

Questions

- Where does the normal line to the parabola #y=x-x^2# at the point (0,1) intersect the parabola a second time?
- What is the equation of the line tangent to #f(x)=2x^3 - 5/x # at #x=-1#?
- Show that the tangent to #f(x) = sinx# at #x=1# and the tangent to #g(x) = sin^-1x# at #y=1# are equally inclined to #y=x#?
- How do you find the equation of the tangent line to the graph #y=x^2e^x-2xe^x+2e^x# through point (1,e)?
- How do you show the line #y=6x-5# is a tangent to the quadratic equation #f(x)= 5x^2 - 14x + 15#?
- How do you find the equation of the line tangent to #y=(x^2)(e^3x)# at the point where x=1/3?
- How do find the equation of the tangent of the curve of #y = x^2 - 4x# at the point with coordinates (2,-4)?
- If #f(x) = lnx + 2#, what is the tangent to the graph at #x = 1#?
- What is the equation of the line tangent to #f(x)=-3x^2-3x +6 # at #x=1#?
- What is the equation of the line tangent to #f(x)=(2x^2 - 1) / x# at #x=1#?
- What is the equation of the tangent line of #f(x) =(x^2)/(x-4)# at #x=5#?
- How do you find the equation of tangent line to the curve #f(x) = x^3# at x = 2?
- What is the equation of the tangent line of #f(x)=(x-5)/(x+1) # at #x=6#?
- What is the equation of the tangent line of #f(x) =1-x^2/(x-5)# at # x = 4#?
- What is the equation of the line tangent to #f(x)=e^(3x-4)sine^x# at #x=lnpi#?
- How do you find the equation of the line tangent to the graph of #(2x+3)^(1/2)# at the point x=3?
- How do you find the equation for the tangent line for #y=1/x# at #x=1#?
- How do you find the equation of the line tangent to the graph of f(x) = x^4 + 2x^2?
- How do you find the slope of a tangent line to the graph of the function # f(x)=(x^3 + 1)(x^2 -2)# at (2, 18)?
- What is the equation of the tangent line of #f(x)=sinx-x/cosx# at #x=pi/4#?