Find a function that isn't a polynomial function or a rational function, that has a non-horizontal point of inflexion at (8, 13). That is, you must find a function that has non-zero gradient at that point but the second derivative zero there and the second derivative changes sign at the point. Remembering that your function can't be a polynomial or a rational function.

Q: y = vx² – 9

A:

Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

A: We find f'(x) using the quotient rule.

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (-1,…

A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)

Q: The graph of f(z) = 2z³ + 12z² – 126z + 17 has two horizontal tangents. One occurs at a negative…

A: for the horizontal line find the slope first and set to zero.

Q: Show that the line passing through the points (7,5) and (-1,7) is parallel to the line y…

A: For solving this question we will use the concept of coordinate geometry. First of all we have to…

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

A:

Q: See image below

A: Given function is

Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

A:

Q: I dont know where to start this problem. It would be great to have some help

A: Given:

Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: Determine the points at which the function is not analytic: (iz^3 + 2z) / (z^2 + 1)

A:

Q: Find the derivative of f(a) %3D 울 -울 + 4VE

A:

Q: Consider the function as folows:-   r(x) = 2x - 5 /(3x + 1)2 In general, how do you find the…

A: Given function: rx=2x-53x+12 We can write the function as rx=2x-53x+1-2 Differentiate the above…

Q: Use definition to find the derivative of the function f (x) = 5x- 2x at = 3. [2 Marks] %3D

A:

Q: Use implicit differentiation to find * at the point (-2,3) on the curve x³ + y³ = 19. %3D

A: Given:- x3+y3 =19 To find:- d2y/dx2

Q: can explain for me what is Applications of Partial Derivative ?

A:

Q: By using quotient rule, differentiate f(x) = (2x* – 7x² + 3x)(x² + 1)-1. Hence, find the gradient of…

A:

Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…

A:

Q: Determine whether the following statement is true or false, and explain why. The chain rule is used…

A: Given: The chain rule is used to take the derivative of a product of functions.

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

A:

Q: Explain the rule of maximum and minimum using Derivatives with an example?

A:

Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: Show that the negative gradient points in the direction of greatest decrease

A:

Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line…

A:

Q: Describe the process of linearization of a function f(x) at a point x = a, and explain how it can be…

A:

Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

A:

Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: Find the derivative of the function f(x) v4-x by definition

A:

Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: Find the equation of the tangent line to the function f(x) 8vx - 4 at the point (64, 60). Provide…

A: Calculate the slope of the given function;

Q: . Find the gradient of the TANGENT LINE at the given points y = 4 - 3x2         at (-1, 1) y = x2 -…

A:

Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

A:

Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A:

Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

A:

Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: Find the gradient of the curve . Y=4x^2 at x=3

A:

Q: Find the derivative of the function. y = x²V25 - x² %3D %3D

A: Differentiate wrt x

Q: Find the partial derivative for this

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the x-coordinates of all points on the curve y = 12x" - 96x° - 168x + 26x + 91 where the…

A:

Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Let the function f(x,y) = u(x,y) + i v(x,y) be an analytic function. Given that u(x, y) = c1 ; v(x,…

Q: The function f (x) = ax³ – bx² has a gradient of 2 at point (1,6). Find its gradient when x = 2.

A: Given  f(x) = ax3-bx2

Q: if a set is compact set and the gradient of the function isnt equal to zero what does it mean

A: Given that the set is compact set. This mean that the function is bounded. The gradient of the…

Q: Is it possible to draw a tangent line with slope 4 to a differentiable function f which passes…

A:

Q: Explain whether the Quotient Rule should be used to find the partial derivative

A: Partial Differentiation:     ∂∂x(xyx2+1)ddx(uv)=v.dudx-u.dvdxv2

Q: Find the equation of the tangent line to the function f(x) = 8/x - 2 at the point (64, 62). Provide…

A: To determine the equation of the tangent in the form y =mx+b

Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

A:

Q: Estimate the slope of the tangent to the function f(x) = (x + 1)^2(x - 4) at the point of abscissa…

A: Introduction: A tangent line is one that intersects a curve at the so-called point of tangency.…