C)Find the instantaneous slope of F(x)=xsquare-2x at x =1 over 3

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

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

A:

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = a - 3x + 2

A:

Q: Find the slope m of the line tangent to the graph of the function f(x)=9-x^2 at point P(4,-7).

A:

Q: Find the slope-intercept equation of the tangent line to f (x) = 3x² – 4x + 5 at the point (1, 4).

A:

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

A:

Q: The slope of a tangent to the curve f(x) = x² + 2x – 5 at the point (3, 10) is : 12 8. -5 10

A:

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

A:

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

A:

Q: The slope of the curve f(x)= at x =1 is

A: given function :

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

A:

Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

A:

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

A:

Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

A:

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

A:

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

A:

Q: 1. Find the slope of the line tangent to the graph of the function defined by fix) - 3x - 2x- I at…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

A:

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

A:

Q: Find an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

A:

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is…

A: The derivative of xn is nxn-1 for n≠0. The derivative of f(x)+g(x) is f'(x)+g'(x). The derivative of…

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

A:

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

A:

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

A:

Q: what is the slope of the curve

A:

Q: The graph of f(x)=2x^3+6x^2−144x+6 has two horizontal tangents. what are the positive and negative…

A: See the details solution in below

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

A:

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 7x − 4x2…

A: Given, function

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: Find the slope of the curve: y= x^2/x^2 -1 at x=2

A: Slope of curve is the derivative of curve at the point .  Slope = m = ( dy/dx ) | x = a

Q: 7. Find the slope of the tangent line to the graph at (1,1): x2y? - 9x2-4y2 = 0 x-9-4-0 (-4, 2/3)…

A: x2y2−9x2−4y2=0 Use implicit differentiation to find the slope of x2y2−9x2−4y2=0 Implicit…

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

A:

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

A:

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

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

A:

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and…

A: Answer and explanation is given below

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

A: Topic = Derivative

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.