A) In calculus what is the name of the slope of the line drawn tangent to...

A) In calculus what is the name of the slope of the line drawn tangent to curve (when the curve is a graph of given function) B) What is the name of the physical quantity given to the slope of a line tangent to a Distance vs Time curve?

Solutions

Expert Solution

In a graph of a function, the slope of a line drwan tangent to the curve is the derivative of the given function. the slope is different at different points on the curve.The slope of the tangent line is

The derivative of a function at any x value gives the slope of the original function’s graph at that x value.

In this graph, function is Distance wich is dependent on time and x is time. So derivation of distance with time is velocity. The slope of a line tangent to a distance vs time curve is velocity .

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Determine the slope of the tangent line, then find the equation of the tangent line at...

Determine the slope of the tangent line, then find the equation of the tangent line at 1. x= 3 sin(t), y= cos(t), t=pi/6 2. x= sqrt t, y= 3t, t=36

Determine the slope of the tangent line, then find the equation of the tangent line at...

Determine the slope of the tangent line, then find the equation of the tangent line at t=−1 . x= 9t, y=t^2

Find the slope of the tangent line to the graph of the given function at the...

Find the slope of the tangent line to the graph of the given function at the given value of x. Find the equation of the tangent line. y=x^4-2x^3+3; x=2 How would the slope of a tangent line be determined with the given information? A. Set the derivative equal to zero and solve for x. B. Substitute values of x into the equation and solve for y. Plot the resulting points to find the linear equation. C.Substitute 2 for x into...

how do you find the slope of a tangent line?

Find the slope of the tangent line to the graph of the function at the given...

Find the slope of the tangent line to the graph of the function at the given point. f(x) = 4/3x at (1,4/3) Determine an equation of the tangent line. y = i need belp determing the equation because i got the slope right but not the equation 2. Mortgage Rates The average 30-year fixed mortgage rate in the United States in the first week of May in 2010 through 2012 is approximated by M(t) = 55.9 t2 − 0.31t +...

How do you find the slope of the tangent line to a curve at a point?

For the curve r = 5sinθ, find the slope of the tangent line when θ =...

For the curve r = 5sinθ, find the slope of the tangent line when θ = π / 2.

Find the slope of the tangent line to the curve r = 1 + cos(θ) at...

Find the slope of the tangent line to the curve r = 1 + cos(θ) at θ =π/4. Note, you do NOT need to find the equation of the tangent line.

Find the slope of the tangent line to the following curve at the point given. r=...

Find the slope of the tangent line to the following curve at the point given. r= Cos(3theta) + Sin(2theta) (1,0)

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the...

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the point (8,7) Part B: Find an equation of the tangent line to the graph of f(x)= −3x^2 at the point (−3,−27). Solve your equation for ?. Part C: Find an equation of the tangent line to the graph of ?(?)= 7/(x-4) at the point (5,7). Solve your equation for ?.

Subjects