Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent line of h(x) has the largest slope at this point.

Q: Find the slope of the tangent line to the graph of f(x) = x2 - x at (4, 12).

A:

Q: x3-x2-9x+9.  Find the pos

A: Given function:  h(x) = x3-x2-9x+9   slope of tangent line : m= h'xm = ddxx3-x2-9x+9m =3x2-2x-91+0m…

Q: Find an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

A:

Q: 1) Find the slope of the tangent line to the graph of f (x) = x3 + x at x = 3.

A: Application of derivative problem

Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

A:

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…