Let h(t) = ln(t) +1. Determine the equation of the line that is tangent to the graph of h(t) at the point where t =3. Provide a graph of your work showing the function and the tangent line you are identifying. (Note: You may round all decimal values in this problem to the nearest thousandth.)

The equation of a tangent line to a graph is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... 1. Apply the slope predictor formula to find the slope of the line tangent to y = f(x) = (2x + 4)^2 - (2x -4)^2. Then write the equation of the line tangent to ...

... c) Find the equation of the tangent line to the graph of f at the point (3,2/-3). Write your answer in the form y=mx+b. The equation of the tangent line to the ...

... This solution explains four separate problems on functions, function multiplication, equation of a circle and finding its tangent line through a point, and ...

... This posting includes detailed solutions to some questions on finding derivatives, slope of a tangent line and equation of a parallel line through a given point ...

...Find the equilibrium price. $. Find an equation of the tangent line to the graph of the function at the given point. y =. Find the derivative of the function. ...

... 5.1 f(x) = 4 ^/¯x+8 Given Figure 5.1, use the four-step process to find a slopepredictor function m(x). Then write an equation for the line tangent to the ...

... that the derivative of the linear equation is the ... to calculate the slope of the tangent line (the instantaneous ... to do with the derivative to find a maximum to ...

... is always 0, and that the equation f ' ( x) = 4 x 2 − 9 will give you the slope of the tangent line for a particular value of x, we want to find the values ...