Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and that the graph of f passes through the given point. rrx)=4(2x-7)3 (4,플)

Q: Find the points on the graph of y = tan x, 0sxs2n, where the tangent line is parallel to the line 4x…

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Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

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Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: Find the derivative of the function f (x) = Va Then use r 8, that is to say the point (8,2) to find…

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Q: Find the equation of the tangent line to the function f(x)=−2x^3−3x^2−2x at the point (−1,1). Give…

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Q: Find the slope of the tangent line to the graph of xy^2 + x^2 + y^2 = 9 at the point (0,3)

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Q: 9. Find all the x-values on the curve where the tangent line is horizontal Y = 2x°(x- 3)°

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Q: Differentiate the function and find the slope of the given tangent line f(x)=2x+5/x x=5

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Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: Given:        k(x)=12+x,    x=2.

Q: 8. Find the point of the graph of f (x) = xe-2x where the tangent line is horizontal. %3D

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Q: Find the equation of the tangent line at x=9 for f(x) =X^3/2

A: I am attaching image so that you understand each and every step.

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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

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Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Find f(x) if f(1) = -1 and the tangent line at (x, f(x)) has slope 3ex+7 f(x)= ?

A: Given:

Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

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Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find the slope of the tangent line to the curve defined by (4x^6)+xy−(5y^5)=259 at the point…

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: .2 Find the tangent line to y = x-x+2 at x=2.

A: Given - A function To find- Equation of tangent

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Given curve is y=x-1. Power rule of differentiation states that, ddxxn=nxn-1 Differentiating the…

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

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

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Q: What are the values of x where tangent line of graph of f(x)=1/x is parallel to the line y=−5x+4.…

A: Follow the procedure given below.

Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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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: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

A:

Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

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Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the points on the graph of f where the tangent line is horizontal. f(x) = x3 - 18x2 (x, y) = (…

A: As we know that the slope of the tangent on a graph represents by f '(x) and it is parallel to the…

Q: nd analytically using limits the slope of the tangent line to the curve y= x

A: Here we have to Find analytically using limits the slope of the tangent line to the curve y=x2+3x At…

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

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Q: Find f(x) if f(0) = 8 and the tangent line at (x, f(x)) has slope 9x. %3D f(x) = %3D

A: Given:  f(0)=8 and the tangent line (x,f(x)) has slope 9x

Q: Find the slope of the tangent line to the curve x y-y = 10 at the point (3,2). -5/3 0 1 0 4 O 1/4

A: Given a curve x2y - y3 = 10  So here slope of tangent will be dydx  at given point 3 , 2 Now…