# Slope of a Curve at a Point - Page 6

Questions

- What is the gradient of the tangent to the curve y = 4x^3-5x^2+x-7 at the point (2,7)?
- Find where slope of y=√x is 1?
- When will the slope field for the differential equation #(2x)/(4y-xy)# have vertical segments?
- Find the equation of the tangent line to the curve y=x^3 at the point (2,8)?
- Find the curve y=f(x) in the xy-plane that passes through the point (9,4) and whose slope at each point is 3#sqrt((x))# ?
- Determine the maximum height a baseball reaches as it is hit if its height can be represented by a function s(t)= -5t^2 +55t +2?
- Some one can help me to solve this question? find the slope of curve at a point by using #(f(x+h)-f(h))/h#
- What is the slope and y intercept of y=2x?
- How do I find the equation of the tangent line to the curve at the given point, (2, -4)? y=4x-3x^2.
- How to determine the slope of any point x for the function 5÷(2+x)?
- How to find the slope of the curve at the given point: x^2 + y^2 = 25 ; (3,-4) ?
- What is the slope of the curve #6x^3 + 4y^3 = 6# at the point #(3, -3)#?
- How to find the slope of the curve at the given point: xy = -8 ; (4,-2) ?
- What is the equation of the tangent line at #x = 1# on the curve #3y^3+xy-y=81x^4#?
- How do you find the gradient of the curve #y=(3x-9)/(2x^2)# at the point where the curve crosses the #x#-axis?
- How do you find the equations of the tangent lines to the curve #y^2 - xy+10 = 0# at the points #(- 7, - 2)# and #(- 7, - 5)#?
- What is the slope of the curve #x^2+y^2-12x+4y-5=0# at #(0,1)#?
- Given #f(5) = 10# and #f'(5) = 2# what would be a reasonable approximation for #f(6)# ?
- What is the slope of curve #f(t)=t^2# at #(2,4)#?
- Show that the curves whose equations are y= #sqrt(3x+1)# and y=#sqrt(5x-x^2)# have the same gradient at their point of intersection. Fina the equation of the common tangent at this point?