Use technology to sketch the graph of the given function. (x) = x* - 2x3 + x? – 2x + 1 Indicate any extrema. The coordinates of the extrema should be accurate to two decimal places. [HINT: To locate extrema accurately, plot the first derivative.] (If an answer does not exist, enter DNE.) (x, Y) = |1.40, – 1.49 ) minimum Indicate any points of inflection. The coordinates of the points of inflection should be accurate to two decimal places. [HINT: To locate points of inflection accurately, plot the second derivative.] (Order your answers from smallest to largest x. If an answer does not exist, enter DNE.) = ( 0.60, – 0.55 x :) (х, у) (x, y) = ( 0.21,0.78 | x

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: The slope to the tangent line of a curve is given by f(x) = x2 -9x + 12. If the point (0, 9) is on…

A: Given that slope equation and we find the equation of curve. I.e.  df(x)/dx = x2 - 9x + 12. And also…

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 the COORDINATE POINT(S) of the extrema by using the Second Derivative Test. M needed for these…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: Find an equation of the tangent line to the graph at the given point. y = y 8 16 x fix) = 2 X + 16 4…

A: Given that a graph  and  find an equation of the  tangent line at point (-2,-8/5).

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

A:

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: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

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: Determine the point(s) (if any) at which the graph of y= x^4-2x^2+3 has a horizontal tangent line.

A: The given curve equation y=x4-2x2+3 Slope = dydx=4x3-4x For horizontal tangent line dydx=0

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

A:

Q: Use the four-step process to find the slope of the tangent line to the graph of tl answers…

A: We can solve the question in step by step process as below

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

A:

Q: Find the equation of the line tangent to the graph of f(x)=4cos(x) at x=−π/3 Give your answer in…

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: Find the equation of the tangent line to the graph of y =f(x) at the point where x=-3 if f(-3) = 2…

A:

Q: Use Excel or MATLAB to draw the function v and its first and second derivatives v' and v", for 0 < x…

A:

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

A:

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

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: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

A:

Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: Find an equation of the tangent line at the indicated point on the graph of the function. y = f(x) =…

A: Using equation of tangent line.

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: Find the derivative of: (8 – 6x). [Hint: expand first.] - -12(8 – 6x) Now, find the equation of the…

A: Find the derivative of (8-6x)2  also find the equation of tangent line to the curve at (1,4) , write…

Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

A:

Q: 01:- Find the slope of the curve f(x) = Vx – 1 at the point (x=5).

A: Topic-application of derivatives

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

A:

Q: Find an equation of the tangent line to the graph at the given point.

A: Find an equation of the tangent line to the graph at the given point.

Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: Determine the point(s), at which the graph of the function has a horizontal tangent line. y = x4 −…

A: The given function is  f(x) = x4 - 2x2  + 7 Horizontal tangent line will be for the curve where it…

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 all values of x at which the tangent line to the curve y = 2x+17 has the y-intercept 2. x+8…

A: This question is related to curve and tangent, we will use differentiation to solve it.

Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

A:

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A:

Q: Solve the problem. Find where all tangents to the curve f(x) = that have slope -1. x + O x = 0 O x =…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 5.…

A:

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

A: The tangent line is a Straight line which is a tangent to the curve at the point. The point here…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe? -…

A:

Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

A: