# Tangent Line to a Curve - Page 6

Questions

- How do you write the slope of the line tangent to #f(x)=3-2x# at the point (-1,5)?
- What is the equation of the tangent line of #f(x) =(e^(x^2)-x)(e^x-x^2)# at #x=2#?
- What is the equation of the line tangent to # f(x)=xsecx - xcosx # at # x=pi/3#?
- What is the equation of the line tangent to #f(x)=(x-1)(2x+4)# at #x=0#?
- How do you find the slope of the tangent line to the graph at given point and give an equation of the tangent line #f(x)=3/2x# at (1, 3/2)?
- How do you find the slope of a tangent line to the graph of the function #f(x)=x^3-2x+1# at (-1,2)?
- What is the equation of the tangent line of #f(x) =((x+3)(x-1))/e^x# at #x=-3#?
- How do you find the equation of the line #y = x^3 - 5x^2 + 2x +1# tangent to the curve and its point of inflection?
- How do you find slope of the tangent line to the curve #y=x^2+3x-5# at the point (2,5)?
- What is the equation of the line tangent to #f(x)=(x^3 - 4) / x# at #x=2#?
- Find the coordinates of the points on the graph of #y=3x^2-2x# at which tangent line is parallel to the line #y=10x#?
- How do you find the slope of a tangent line to the graph of the function #f(x)=13x-8x^2 # at (-5,-25)?
- How do you find the equation of the tangent line to the graph of #f(x) = 2x ln(x + 2) # at x = 3?
- How do you find the points where the graph of the function # r=e^theta# has horizontal tangents and what is the equation?
- What is the equation of the line tangent to # f(x)=(x^2-x)e^(x+2) # at # x=-2 #?
- How do you find a cubic function #y = ax^3+bx^2+cx+d# whose graph has horizontal tangents at the points(-2,6) and (2,0)?
- What is the equation of the line tangent to #f(x)=6x^2 + 4x - 9 # at #x=-1#?
- What is the equation of the tangent line of #f(x) =(x-1)(3x-3e^(x^2-1))# at #x=1#?
- How do you find the equation of the line tangent to the graph of #f(x) =10/(5x + 9#), when x =1/5?
- How do you determine at which the graph of the function #y=x+sinx# has a horizontal tangent line?