Find the slope and the equation of the tangent line to the graph of the function f at the specified point. f(x)= x squared / x-1 ; (2,4)

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: an equation of the line tangent to the function of x2 + (y – x)2 = 9 at x = 1.

A: At given value of x find y Differentiate at given value Use equation of tangent line

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) = -4x – 3…

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Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. 8)…

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Q: Let f(x) = 4x*+ 4x° – 10. Find the equation of the line tangent line to the graph of Y point (2,…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

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Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

A: Given the function of f(x)= 2x3 - x. We need to find: 1)f'(x). 2)Slope of the tangent line to the…

Q: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

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Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two…

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Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

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Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find an equation for the functionf that has the given derivative and whose graph passes through the…

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Q: 5x - 8 Find the equation of the tangent line to the graph of f(x) = x +1 at the point at which x =…

A: Equation of tangent line is (y-y1)=m(x-x1)

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) : -15x + 3…

A: Given that  f(x)=-15x+3  At x=1

Q: If g(x) =x4-2 find g'(1) and use it to find an equation of the tangent line to the curve y= x4-2  at…

A: Derivative: g(x)=x4-2 The eq of the tangent at (x1,y1) is y-y1=dgdx(x1,y1)(x-x1)

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope will be same and there will be 2 equations.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Function f(x) = −1/4 x2                      Line       x + y = 0 Equation of the line that is…

Q: Consider the function and point given below. f(x) (-1, 10) х, х* (a) Find an equation of the tangent…

A: Consider the given function:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

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

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Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

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Q: For the function f(x) = 2x²: Find the slope of the tangent line to the curve at the point (1, 2): m…

A: The given function is fx=2x2. Obtain the derivative of fx=2x2: dydx=4x Substitute x,y=1,2  in…

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

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Q: Using the definition of the slope of a tangent line, find the derivative of each function. 1. f(x) =…

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

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Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

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Q: 2x-5 Find the equation of the tangent line to the graph of f(x) = at the point at which x+1 x = 0.

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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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: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: Find the values of x where the tangent line is horizontal for the function  f(x) = x2(x-5)3

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Q: Find the equation of the tangent line at the point (a,f(a)). Sketch the graph and the tangent line…

A: To find the equation of the tangent line at the point (a,f(a)).

Q: For the given​ function, (a) find the slope of the tangent line to the graph at the given​ point;…

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Q: If g(x) - xf(x), where (4) = 9 and f'(4) = -4, find an equation of the tangent line to the graph of…

A: Given:  gx=x fxf4=9f'4=-4 To Find:  To find an equation of the tangent line to the graph of g at the…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

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: