# Slope of a Curve at a Point - Page 7

Questions

- If #f(x) = x^2+4x+6# then what is the slope of the line through #(2, f(2))# and #(5, f(5))# ?
- Find the slope of the function's graph of the given point, then find the equation for the line tangent to the graph there? f(x)=x^2+1 (2,5)
- How do you find the equation of a line tangent to #y=x^2-x# at (2,6)?
- Find area under the curve? Pl refer to the question in the img attached
- How would I find the slope of the graph for this problem? g(x)=(4)/(x-6) at the point (7,4).
- How do you find the equation of the tangent line to the curve at #(81, 9)# of #y=sqrtx#?
- A curve is such that #dy/dx=4/sqrt((6-2x))# and #P(1,8)# is a point on the curve. 1. The normal to the curve at the point #P# meets the coordinate axes at #Q# and at #R#. Find the coordinates of the mid-point of #QR.# 2. Find the equation of the curve?
- Find the slope of the tangent line to the graph y=f^-1(x) at the point (-8,2)?
- The curve with equation #y = h(x)# passes through the point #(4, 19)#. Given that #h'(x) = 15xsqrtx-40/sqrtx#, find #h(x)#?
- How do i find the slope? when x=2
- Find the slopes of the tangent lines to the curve #y^2 −x +1 = 0# at the points (2,−1) and (2,1)?
- How do I find an equation for the tangent line to the graph of #f(x)=(sqrt(x))/(4x-8)# at the point #(3, f(3)#)?