Describe how to find the slope of the tangent line to the graph of a function at a point.

Q: Describe geometrically when a function typically does not have a derivative at a point.

A: To describe geometrically when a function typically does not have a derivative at a point.

Q: What are Vertical Tangent Lines?

A: Vertical tangent line:

Q: Determine the points at which the graph of the function has a horizontal tangent line. x2 f(x) (х,…

A:

Q: Find the Value of an Inverse Tangent Function

A: Inverse tan is the inverse function of the trigonometric function ‘tangent’. It is used to calculate…

Q: Explain the main property of tangent function?

A: The tangent function is an odd function, and its graph is symmetric with respect to the origin over…

Q: Explain tangent function.

A: Given: Explain tangent function

Q: Write down five properties of the tangent function.Explain the meaning of each.

A: Tangent function :                           Five properties and explaining the meaning of each:=?

Q: Describe the parallels between finding the instantaneous velocity of an object at a point in time…

A: We have to find out the parallels between finding the instantaneous velocity of an object at a point…

Q: Determine whether the graph of y = X has any horizontal tangent lines.

A:

Q: If a graph is concave up on an interval, what happens to the slope of the tangent as you move from…

A: If a graph is concave up on an interval

Q: Show algebraically that the tangent function is an odd function.

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Q: Find the slope and an equation of the tangent line to the graph of f(x) = 2x + sqrt(x) the point (1,…

A: Given line :

Q: Explain in words how to evaluate the derivative of function?

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: What are the characteristics of the graph of the tangent function?

A: What are the characteristics of graph of tangent function

Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: What role does the derivative play in defining slopes, tangent lines, and rates of change?

A: To determine the role of derivative of a function in defining slopes, tangent lines and rate of…

Q: Function Point 53. y = x4 – 3x² + 2 (1, 0) -

A:

Q: What function measures the rate of change of distance?

A: _____ function measures the rate of change of distance

Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: The slope of the graph of the inverse tangent function is positive for all x. True or false?

A: Given: The slope of the graph of the inverse tangent function is positive for all x.

Q: Explain why the slope of the tangent line can be interpreted as aninstantaneous rate of change

A: The average rate of change of a function fx over the interval x, x+h is the slope of the secant line…

Q: Is the slope of the line tangent to the curve the derivative?

A:

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

Q: Explain how you would approximate the slope of the tangent at a point without using first…

A:

Q: Explain how to find the tangent line and normal line equation when the slope is undefined?

A: It is given slope at the point is undefined say the point is (x1, y1).  The equation of tangent at…

Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

A:

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point

A: Givenf(x)=x2+5We need to find the equation of the tangent line of the given function at point x = -2

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A:

Q: Determine the equation of the curve at every point of which the tangent line has a slope of 2x.

A:

Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: Is it possible to plot a function for which NONE of its secant lines has a parallel tangent line in…

A: Secant line is a line which cuts the function at minimum two points. Tangent line is a line that…

Q: tangent line of the curve

A: The tangent line is the line on the curve which passes through the given point on the curve.

Q: Please provide an example of real life computation and application of slope of a tangent line

A:

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Given, y= x³-4x²+9 Therefore, dy/dx = 3x²-8x Also given, x=1 Substituting in the above equation we…

Q: Sketch the graph by using the properties of the derivative.

A: We have to sketch the graph of y=x2+2x by using the properties of the derivative.

Q: 1/3 for

A: Answer

Q: Write the equation of the tangent line to the graph of y = x at the point x = - 0.7.

A:

Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

A:

Q: What can be said about the relationship between the graph of a  function and the tangent line at a…

A: The point where the second derivarive of graph is zero is called graph of inflection.

Q: Can you help me find the slope of the tangent line to the graph at the given point?

A:

Q: Determine the points at which the graph of the function has a horizontal tangent line  f(x)= x2/x-5…

A:

Q: Sketch the derivative of the function whose graph is below.

A: We have to sketch the derivative of the function whose graph is given .

Q: Describe a process for finding the slope of the line tangent to thegraph of f at (a, f(a)).

A: We have to describe a process for finding the slope of the line tangent to the graph of at (a,f(a).

Q: Give an example for tangent line?

A: Find the tangent line to f(x) = x2 at x = 1. We need a point and a slope. Since f(1)=1, the point we…