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Q: Find the equation of the line tangent to the graph of f a

A: Given, f(x)=2+lnx4; x=e

Q: find the tangent line approximationT to the graph of f at the given point. Thencomplete the table.…

A: Consider the given function.  y=x5, (2,32) The tangent line approximation is defined as.…

Q: Determine the point(s) on the following function where the tangent line is…

A: f(x)=−x3+3x2In order to get the slope of the curve or that of a tangent to the curve at any point…

Q: Differentiate the function.

A:

Q: The slope of the tangent line to the graph of the function y = 3/I – 6 at (36, 12) is, O -0.67 O…

A: Given function is y=3x-6. We have to find the slope of function at point 36, 12   Slope=dydx…

Q: Find the equation of the tangent line to the graph of the function f (z) = (22 +9) (z – 3) at the…

A:

Q: Find the values of x where the tangent line to the 1 graph of f(x) is parallel to the line - y = 8x…

A: Given: Graph of function fx=1x  and line y=-8x+4.

Q: Find the equation of the tangent line to the graph of the function f (x) = v 4,4 + 12 at the point…

A: Consider the equation

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. y…

A: Tangent line is horizontal if the slope of the tangent line is zero. The slope of the tangent line…

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

A:

Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ,0)

A:

Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Identify all points of the function f(x)=sin x where the tangent line is horizontal

A: topic - slope of tangent to the curve

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: Find the equation of the tangent line to f(x) = x² + x at x = 3. Sketch the function and this…

A: The slope of any curve at any point is equal to the derivative of the curve at that point. The…

Q: Find the point(s) on the graph of the following function where the slope of the tangent line is…

A:

Q: Determine the area of the triangle formed by the tangent to the graph of the function y=3−x2 drawn…

A:

Q: Find the equation of the tangent line at (1, ƒ(1)) when f(1) = 11 and f'(1) = 4.

A: to find equation of tangent line

Q: Find equations of the two tangent lines to the graph of f that pass through the indicated point.f(x)…

A: Given: y=x2                                                 ..1 let's assume slope of tangent is m…

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: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 6x…

A: Given that: Equation of the curve is:         y=arcsec(6x) and the point is:              26, π4

Q: Find the x and y coordinates on the graph of f (x) = x³ - 3x where the tangent is horizontal. (A)…

A:

Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

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

A:

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: Find the point(s) on the graph of f where the tangent line is horizontal. f(x) =  x x2 + 36

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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: Use the fact that derivative of a function at a point is the slope of the tangent line to the graph…

A: We know that the derivative is 0  at the maximum and minimum point on the graph  From the graph we…

Q: Find the slope of the tangent line to the function f(x) = tan(cos(ax)) at x =π/2a. Leave your answer…

A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

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

A:

Q: Explain why the domains of the tangent and secant functions are the same, and then give a similar…

A: the domain of the function is defined as the set of all possible inputs. The tangent function can be…

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A: Given:

Q: Find the point(s) on the graph of f where the tangent line is horizontal. f(«) =x°c* (0, 0), 9, 99…

A: We need to find points where tangent is horizontal.

Q: iven that the graph of f passes through the point (1,6) and that the slope of its tangent line at  (…

A:

Q: Show that the function f defined by f(x) 3 x' + 3 then find an equation for the line tangent to the…

A:

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. y…

A: Given function :-  y = x2 + 9 Differentiating with respect to "x" dydx=2xwe have to find the…

Q: If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out…

A:

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…

A:

Q: Use any method to find the slope of the tangent line to the graph of the function f (x) = – at the…

A: Given function is fx=1x2. To find the slope of the tangent line at x=5. Solution: The slope of the…

Q: Find the equation of the tangent line to the function below when -T 4. f (x) = tan x + 2

A: I am going to solve the given problem by using some simple calculus to get the required result.

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

A: Given:  f(x)=x3 To Find: Slope of tangent line of the given function at x=-6

Q: Find the equation of the tangent line to the function f(x) = r + 3z++4 at the point where x =-2.…

A: Given : fx = x3+3x2+x+4

Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing…

A:

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.

Q: The slope of the tangent line to the graph of the function y = 7VI - 3 at (9, 18) is O -2.00 O 1.83…

A: Solution