FIND THE EQUATION OF THE LINE TANGENT TO f(x)

Q: Determine the equation of the line that is perpendicular to the tangent line at the curve y = 5x2 –…

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Q: Find the equation of the tangent and normal line of the function f(x) = 2x – 1 at the point (5, 3).

A: fx=2x-1   First find equation of tangent line of given function  We need to find the slope of…

Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: find an equation of the tangent line at the point indicated. f (x) = 6x , x = 2

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Q: Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the…

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Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

Q: Find the slope of the tangent line to the curve x² + 3xy + 3y³ = − 101 at the point (4, -3).

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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Q: Find the equation of the tangent line to f(x)=xe2x-2 + 3 at the point (1,4).

A: Slope of a tangent of a function at a point is equal to the value of the derivative at that point.To…

Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

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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 equation of the tangent line.

A: Consider the given equation of curve:

Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

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Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: where x = 6.

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Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

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Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

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Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: Find the equation of the tangent and normal line of the function f(x) =√(2x − 1) at the point (5,…

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Q: Find the equation of the tangent line to y = 20-5æ+3 at x = 4. y =

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Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: 2 Write the equation of the tangent line to the graph of y =x at the point x = - 0.7.

A: Given equation is To find the equation of tangent line y=mx+b, we need to find out the slope m…

Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

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

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

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: The tangent line to f(x) = x² at x = –3.

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Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

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Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

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Q: Find the exact equation of the tangent line to the curve f (x) = x³ + 3x +4 at x = 2.

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Q: find the slope to the tangent line x^2e^4x at the point (-1,e^-4)

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Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

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