Given the differentiable function y= f (x) you need to find the equation of the tangent line to the graph of the function at z=-2. We know that the equation of the tangent line will have the form y = mx + b.What are m and 6? In your own words explain how these quantities relate to y= f(x) andr=-2?

Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: If the instantaneous rate of change of f(x) at (8, −7) is 9, write the equation of the line tangent…

A: It's given that the instantaneous rate of change  of  f(x) at  (8,-7) is 9 . We have to find the…

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

A:

Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…

A:

Q: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

Q: find the equation of the tangent line to 5x+5 at X=2

A: Given function is y=4x2-5x+5 at x=2 Substituting 2 for x in the given function, we get,…

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

A: Given: fx=4xx2+6 We need to find the equation of the tangent line to the graph f(x) at 2,45

Q: For f(x)=x5​, the instantaneous rate of change is known to be 5 at x=−1. Find the equation of the…

A:

Q: Find the equation of tangent for the implicit function x3 - xy2 + 3y2 + 4 = 0. at the point (1, 2)

A:

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

A:

Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

A:

Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

A:

Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

A:

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

Q: Find the equation of tangent lineto the cubic x^3-6x^2+10x+8 parallel to the line y=x

A:

Q: For f(x)=x3​, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the…

A:

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: If the instantaneous rate of change of g(x) at (-1, -2) is 1/2, write the equation of the line…

A:

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line…

A: Slope of tangent line is ½. So the equation is of the form:

Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

A:

Q: For f(x)=x^4, the instantaneous rate of change is known to be -4 at x=-1. Find the equation of the…

A: Given that: *The function f(x) is f(x)=x4. *The instantaneous rate of change is the slope of the…

Q: What is the equation of the tangent line to graph of the function y = e^(3x) at the point (0,1)? O y…

A: The given function is y=e3x

Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

Q: What is the slope of the tangents at x=5 of a circle with a center point (x=4, y=0) and a radius…

A: The given circle has center at (x=4,y=0) and radius (r=2).

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

A:

Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

A:

Q: Find an equation of the curve y = f(x) if y^n = 6x and the tangent line to the curve at (1, 2) is…

A:

Q: Find the second derivative, dz2 where y is related to x implicitly by the equation below. 2x + 4y =…

A: we have to find derivative

Q: Find the equation of tangent and vertical line to the curve g=x+1/x at point (0,1)

A: First we want to check whether the given point is in the domain of the given function.

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

A:

Q: Find an equation for the line tangent to the graph of f at (2, 28), where f is given by f(x) = 5x³ –…

A: Given function is fx=5x3-5x2+8. To find an equation of tangent line to the graph at point 2,28.…

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: For f(x)=x^3​, the instantaneous rate of change is known to be 27  at x=3. Find the equation of…

A:

Q: For which x-value(s) is the tangent line to the curve y=tan x parallel to the line y=2x ? Select all…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: Suppose the tangent line to the curve y = f (x) at the point (4,-4) has the equation: y = 3 x – 16.…

A:

Q: If the instantaneous rate of change of f(x) at (6, −8) is 4, write the equation of the line tangent…

A:

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

A:

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

A:

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

A:

Q: Suppose the tangent line to the curve y = f (x) at the point (-4, 3) has the equation: y = 2 x + 11.…

A: x1=-4f(x1)=f-4=3f'(x1)=2  (slope of f(x) at x1=-4=slope of tangent )