Given that f(−2)=−8f(−2)=−8 and f′(−2)=−7f′(−2)=−7, find an equation for the tangent line to the graph of y=f(x)y=f(x) at x=−2x=−2.

Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…

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Q: If the slope of the tangent line to the graph of y%3f(x) at x-Da is m(a)%=D2a+1, and f(1)=5, then…

A: Given: If the slope of the tangent line to the graph of y=fx at x=a is ma=2a+1and f1=5. To Find: f2…

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 tangent line to the graph of the function at the given point,

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: For which value(s) of x does f(x)=−x^3/3−2x^2+3x−8 have a tangent line of slope 7?

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

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Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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Q: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.

A: The derivative of a function at a point represents the slopeof tangent at that point .

Q: Find the equation of the line that is tangent to the graph of the function f(x) = ln(8x + 6) at the…

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Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: 1. For the function f(x) = 3x² + 7x – 2, (a). Find the slope of the tangent line at x = 4. (b). Find…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e* +…

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Q: Find an equation of the tangent line to the graph of y = f 1 (x) at x = 3, where f(x) = x 4.

A: Given: f(x)=x4 at x=3  To find the tangent line of the given function at x=3

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: For what values of x is the tangent line of the graph of f(x) = 2x – 6x² – 48x + 18 %3D parallel to…

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Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: Find f (3) and f' (3), assuming that the tangent line to y = f (x) at a = 3 has equation y = 5x + 2.

A: Tangent to a function at a point is a line which just touches the graph of the function at that…

Q: Given: f(x)=x2+2 find the equation of a line tangent at point P(1,3) using limits

A: To find the equation of a line tangent at point P(1,3) on below curve using limits.

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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Q: What is the equation of the tangent line to y=e^7x−9/e^x at x=0? Write the equation in…

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Q: Find the equation of the line tangent to the curve x^3 - 3xy + 4x = 2 at x = 1.

A: On solving this we will get

Q: (b) What is the equation of the tangent line for f(x) = x² – 1 at r = 4?

A: f(x) =x2-1

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

Q: Find f(3) and f'(3), assuming that the tangent line to y = f(x) at a = 3 has equation y = 5x +2.

A: Consider the provided function, y=5x+2 Find the value of f3  and  f'3 at a=3. y=5x+2 We can write…

Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

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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 f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 .  Where does the tangent line…

A: Given: f(x)=(x+1)ex To determine: The equation of the line tangent at x=0. The point at which the…

Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

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Q: Find the slope of the line tangent to the curve x^3 - 3xy + 4x = 2 at x=1.

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 12 e* +…

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Q: 4x Find the equation of the line tangent to y = e at x =- In 5.

A: Problem related to application of derivative

Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

Q: For what values of x is the tangent line of the graph of f(x)= 2x3-12x2+2x+18 parallel to the line…

A: The tangent line of the graph of f(x)= 2x3-12x2+2x+18 is parallel to the line y=2x+.4 So, slope of…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = (2x +…

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Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: What is the equation of the tangent line to the curve f(x)= 4x2 + 2x -1 at the point x=0 ?  a.)…

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Q: Find an equation of the tangent line to the function y = 3x2 at the point P(1, 3).

A: We will able to find equation of tangent line we need to find slope for the equation Given P(1,3)…

Q: 2. Given f (x) = x² – 2x + 5, find the tangent line at x = 7

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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