f(x) = (x – 4)(x² + 6x – 1), (0,4) - -

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…

Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

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A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: Find the equation of the tangent line to the function f(x)=2x^3+3x^2+4x+2 at the point where x=−1

A:

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

A: Given, f(x)=e3x, 0,1 We need to find an equation of the tangent line to the graph of the function at…

Q: (a) If F(x) = 6x/(2 + x2), find F '(2) and use it to find an equation of the tangent line to the…

A:

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1

Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

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

A:

Q: Find all points (x, y) on the graph of f(x) = x - 3x + 8x + 23 with tangent lines parallel to the…

A:

Q: Find an equation of the tangent line to the graph of f(x) = x^4 + 3x^2 -1 at x=1

A:

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

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 5x²;…

A:

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

A:

Q: Find the equation of the tangent line to the curve f(x) = 2x³ + 3x – 1 at x = 0. о Т(«) — За +1 Ο Τ(…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point , f(x) = e3x,…

A: Equation of the tangent line: y - y1=m(x - x1) m=f'(x)

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

A:

Q: Find the equation of the tangent line to the graph of the function g(x)=2x-1/3x+1 at x=0.

A:

Q: 5x f(x)= x²-2

A: We have to find the equation of tangent line of the given function. So first of all we will find…

Q: 1. Find the equation of the tangent line at the given point. f (x) = e3x-x², (3,1)

A: We have to find

Q: The equation of the tangent line for the function f(r) = -6 - 6T at z = 6 is

A:

Q: [1] Let f(x) = x – 4.x³ + 3.x² – 4x – 4. Find the equation of the tangent and normal line to the…

A: We have to solve the problem

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 20x + 11 with tangent lines parallel to the…

A:

Q: Find an equation of the tangent line to the graph of the following function f at the specified…

A:

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

A:

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

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

Q: 6. Determine the x-value(s) of the point(s) on the graph of f (x) = 3x³ – 11x – 2 where the tangent…

A: The function f(x)=3x3-11x-2 where the tangent line is parallel to the line 10x-2y-18=0

Q: Find an equation of the tangent line to the graph of the function at the given point. 1 f(z) = at…

A: Given function :                   f(x)=1x2-2x+9   At the point :  (2, 13)   To determine:…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =  3x…

A: Point of tangency = (2, 8)m = slope of the tangent line = f'(x) at the point of tangency =…

Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

A:

Q: Find h'(-1) if h = fog, f(x) 3x2 8 and the equation of the tangent line of g at --1 is y = -2x +7.

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Q: Find the equation of the tangent line to the graph of 4x – 7 f(x) at the point at which x = 0. x + 1

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex3 −…

A: We have been given a function g(x) and we need to find the equation of tangent line to the graph of…

Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

A:

Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

A:

Q: Let f(x) = 1x4 /4 + 2x3 – x2 + 3x + 7.                       a. Find f ’(x).  b. Find the equation…

A:

Q: 1. Find the equation of the tangent line at the given point. f(x) = e3x-x², (3,1)

A:

Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 3 y = In(3 + x) + 3+x' (-2, 3)

A:

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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Q: Find the Equation of the tangent line of "f" at the given point. f(x)=(x-4)(x2+6x-1),(0,4)

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

Q: Find the equation of the tangent line to the function f(x) = -3x – 2x2 – 1 at the point where x =…

A: Given : fx = -3x3 -2x2 -1

Q: Find an equation of the tangent line to the graph of the function f(x) = 4x – 2x3 at x = -1. Select…

A: Given: fx=4x-2x3   at x=-1

Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

A:

Q: f(x)=e*(7x' – 5x² + 2); at x =0

A: Given function: f(x)=ex(7x3-5x2+2) To find the equation of tangent line , find out slope at x=0…

Q: Find an equation of the tangent line to the graph of the function at the given p h(x) = (x2 – 2)(x –…

A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: Find an equation of the tangent line to the graph of the given function at the specified point. x2 -…

A: Our Aim is to find an equation of the tangent line to the graph of the given function…

Q: Find the equation of the tangent line to the graph of f(x) = (3x – x²)(3 – x - x²) at x = 1. y =

A: Topic:- Coordinate Geometry  Equation of tangent is  y+5x=7

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: