Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the point (1,-18).

Q: Need answer to the following question.

A: We first find the slope of the tangent for which we need derivative of f(x).  Differentiating f(x)…

Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

Q: Find an equation of the tangent line at the point indicated. f(x) = 5x2- 2x,    X = 1

A: Solution:Given   f(x)=5x2-2x       x=1To find the equation of the tangent lineFormula:Equation of…

Q: find an equation of the tangent line to the graph of the function at the point (6,1).   y=3^x-6

A: Equation of tangent is given by: (y-y1)=m(x-x1) where , m=slope of the curve. You can find solve by…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find the equation of the tangent line to the function f(x)=x3−2x2−3x at the point (1,−4)

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Q: Find the equation of the tangent line to the graph of the function f(x)= (x2+8)(x-2) at the point…

A: The equation of tangent is  (y - y1) = m (x - x1 ). Here i provide full solution of this question by…

Q: Find the slope-intercept equation of the tangent line to f (x) = 3x² – 4x + 5 at the point (1, 4).

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Q: Find the equation of the tangent line to the graph of the function f (x) = (x² + 8) (x – 3) at the…

A: The gradient of the tangent at any particular point is given by :     f(x) = (x2 + 8) (x - 3)…

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

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Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

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Q: Find an equation of the tangent line to the graph of the function at the point (9, 1). y = 2x - 9

A: Concept - used the formula of y-y1 =m(x-x1)  Here m=dy/dx=slope

Q: =+ 4x³, x = -1 2

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Find an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

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Q: Find the points on the graph of f (x) = 12x − x3 where the tangent line is horizontal.

A: The slope of the tangent line to the function is given by f'(x) . According to sum rule of…

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 an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

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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: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

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Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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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 of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 7x − 4x2…

A: Given, function

Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

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 an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

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Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

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Q: find an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

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

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Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

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

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Q: Find the equation of the tangent line to the function:   f(x) = 2x-1/x+2 when x=3

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Q: Find an equation of the tangent line to the curve at the given point. f(x)=(1-3x)1/2, (-1,2)

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Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the equation of the tangent line to the graph of the function f (x) = x3- 2x + 1 at the point…

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

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Q: If f(x)  = 3x2 -x3, find f'(1) and use it to find an equationof the tangent line to the curve  y=…

A: Given that, y=fx=3x2-x3      ...(1)

Q: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: Find an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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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)

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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 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

Q: Find the slope of the tangent line to the graph of the function at the given point. F(x) = 2x2 – 5,…

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