5. State the domain and the range of the tangent function.

Q: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: 1 . Find the point on the graph of 1+ x where the tangent line has the greatest slope.

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Q: When is the tangent function undefined?

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Q: find the slope of the line tangent to the graph of f at P.

A: Given,

Q: Find the tangent line to g (x)

A: Given, g(x)=16x-4x

Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=8+ Inx; x…

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Q: . The domain of the tangent function is______

A: Domain is the input value for which given function is defined. We know that, tanθ=sinθcosθ Tangent…

Q: The domain of the tangent function is _____.

A: Domain of the function- If we have function f(x), then domain of the f(x) is set of the values of…

Q: What represents the slope of the tangent to f(x)= √x+3 at x=1

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Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

A: The objective of the question is find the equation of tangent at the point (1,5).

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.

A:

Q: The slope of the tangent line to the graph of the function (16, 24) is - O 1.25 O 0.88 O -2.00 | O…

A: Given function -  f(X) = y = 7√x -4

Q: 14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through…

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Q: For what values of x does the graph of f (x) have a horizontal tangent line?

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Q: Find an equation of the tangent line to the graph of the function at the point (1, 1). y = xCosh x

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Q: Suppose f (x) = −2 / x. Find the equation of the line tangent to f (x) at (1, −2).

A: Given function is fx=-2x. We know that equation of tangent line to any function at point x1,y1 is…

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

Q: Find an equation of the tangent line to the graph of the function f(x) = esec(x) at the point (*,…

A: We have to find the equation of tangent line to the graph of function fx=esecx at the point π4, e2.…

Q: Determine the equation of the line tangent to the following function at x = 5. f(x) = (x − 4)(3 −…

A: Slope of the tangent is the value of the derivative at the given point. So differentiating given…

Q: The slope of the tangent line to the graph of the function y = 7Vx – 3 at (9, 18) is - O 3 - 2.00 O…

A: Simply take the derivative of the function at that point.

Q: the line tangent to f(x)=x' 3.

A: we have to find the equation of line tangent to  f(x)=x3-x2-5      , at the point (2,-1)

Q: A function can have a single tangent line to two or more different points. O True O False

A: Yes a function can have a single tangent more than than one point

Q: The slope of the tangent line to the graph of the function y = 9/x – 7 at (49, 56) is . O -1.14 O…

A: Given,  The function  y = 9x - 7   We have to find the slope of the tangent line at 49, 56.

Q: Function Point . y = x+ – 3x? + 2 (1, 0)

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Q: Find the equation of the tangent line to the graph of f at (25,5)    f(x)=√x

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Q: Write down an equation of the tangent line to the graph of 2x-3 f(x) = at a= – 1 %3D X+4 y 11 y= 6.…

A: Topic: function and derivatives

Q: The tangent line to the graph of y = In(x² – 1) .2

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Q: Estimate the slope of the tangent line to the graph of the following function at the point r = -6. f…

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Q: Find the slopem and an equation of the tangent line to the graph of the function f at the specified…

A: Given: fx=x2x+8; 2,25 To find: Slope (m) and equation of the tangent line to the graph of the…

Q: The slope of the tangent line to the graph of the function y = 7 x – 3 at (9, 18) is. O -2.67 O 1.17…

A: We know that dy/dx gives slope of tangent at any point.

Q: The slope of the tangent line to the graph of the function y = 5VT-5 at (25, 20) is O 5 O 0.50 O…

A: Application of differentiation

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

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Q: Please figure out the equation for the tangent line to the graph of the function at the point (9,…

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Q: Find an expression for the slope of the tangent line to the graph of the given Function. 1. y= 2+ x³…

A: Our Aim is to find an expression for the slope of the tangent line to the graph of the given…

Q: Let f(x) = /25 - æ The slope of the tangent line to the graph of f(x) at the point (9, 4) is

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Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) = -6 and f'(2)= 5.…

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Q: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and gʻ(2) = –3.

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

A: given : g(x) = 83x +3∴ differentiate with respect to x g'(x) =83

Q: Where is the tangent function undefined?

A: We can find the answer as below

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: The slope of the tangent line to the graph of the function y=7V=-3 at (9, 18) is O 1.83 O-2.67 O…

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Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A: The given equation is fx=4x and x=3 To find the equation of the tangent line. The formula for the…

Q: Find the slope of the tangent line to the graph of the function at the given point. 6. g(x) =x + 2,…

A: We have to find slope

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In…

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Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

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Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: Why are both the x-coordinate and the y-coordinate generallyneeded to find the slope of the tangent…

A: In implicit differentiation, the result of derivative of the curve that often contains the dependent…

Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: