find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent to the graph there. ƒ(x) = x2 + 1, (2, 5)

Q: Given f(x) =x- 2x, (A) Find f'(x), (B) Find the slopes of the lines tangent to the graph of f at x=…

A: f(x)=x2-2x a) f'(x)=2x-2

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

A: Given: fx=x3+2 and3x-y-4=0 To find the equation of the tangent to the graph of f and parallel to the…

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

A: Given function f(x)=2x2 and line is 6x-y+1=0

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of at any point…

A:

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

A: Let's find.

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

Q: Determine all points on the graph of ƒ (x) = x* – x² – 1 for which a) the tangent line is…

A: Tangent line is horizontal at those points on the graph where derivative dydx=0 (1) At first we find…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

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

A: →Equation of straight line is y = mx+c, then 'm' is slope and 'c' is y-intercept.→Equation of…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A:

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

A: Equation of line : y-y1 = mx-x1 ;where m-slope

Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

A:

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

A: The equation of the line is:

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.…

A:

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

A:

Q: Given the functionf(x)=(x-1)', find the slope of the line tangent to the graph of fat the point…

A: Given :

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

A:

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

A:

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

A: for horizontal tangent f'(x) = 0

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

A:

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

A:

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

A: Slope intercept form-  Y = mx + c  m = slope = g'(x) At x=6,  m= g'(6) =3 c= intercept on y axis…

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

A:

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the z values where the slope of the function shown below is positive.

A:

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

A: firstly find the slope of line from given line by converting it into slope intercept form. slope of…

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

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

A:

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

A:

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: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

A:

Q: Consider the given function and point. f(x)= -7x^4+11x^2-4, (1,0) A. Find an equation of the…

A:

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

A:

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

A:

Q: Consider the following. y2 − x2 = 9; (3, 3sqrt2) Find the slope m of the line tangent to the graph…

A:

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

A:

Q: If f(x) =x+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

A:

Q: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

A:

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

A: A tangent line to a curve is a line that just touches the line and is in a way "parallel" to the…

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

A: Given that y'=f(x)=1x2-1     -----(1)Equation of the line is x+2y+7=0…

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

A: Topic = Derivative

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

A:

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

A: Solve by equation of line in slope form

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

A:

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

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

A: Given: function fx=2x2Line 4x-y+1=0

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

A: The slope of any curve at any point is given by its derivative at that point. two parallel lines…

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…

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: