Compute f and find an equation of the tangent line to the graph at x = a. f(x) 13x3, a 5 (Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of x and y.) f'(x) equation:

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

A: The given function is y=6ex, to find the equation of tangent at the point x0=0

Q: 2. Determine an equation for the tangent line to f(x) = x(x² + 1)3 at x = -1.

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Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: Find an equation of the tangent line to the graph of y = In(x²) at the point (3, In(9)). 2x y = * +…

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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: Find an equation of the tangent line to the graph of the function                      y = arctan…

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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: 7. Use implicit differentiation to find the slope of the tangent line to the graph of x +y = 19 –…

A: Here we will find the slope of tangent line to the given graph,

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

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Q: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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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: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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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 equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: -2, find an If g(x) = xf(x), where f(3) = 4 and f'(3) equation of the tangent line to the graph of g…

A: Consider the given function gx=xfx

Q: the equation of the tangent line to the curve at the given point. y = x² In ¤; (e, e²) :The result…

A: We can find the answer as below.

Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions…

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

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: 8. Use first principles to determine the derivative of each function. Then, determine an equation of…

A: Since multiple questions are asked in form of subparts a,b,c,d. Where in each part we need to…

Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

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Q: 2n 5) h(x) = tanx, x = 3

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Q: 3. If f(x) = 5x - 8x, find the equation of the tangent line to the curve at the point where x= 2.

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Q: The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the…

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Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: 7. Use implicit differentiation to find the slope of the tangent line to the curve 3(28x + y)/2 = 5y…

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Q: Find the equation of the tangent line at the given point on each curve. ln(x + y) = x3y2 + ln (x2 +…

A: The equation of the tangent line at the given point (x1,y1) is y=mx+b where m is slope m=dydxx1,y1…

Q: Find an equation of the tangent line to the graph of the function                   y=2x2 + ln x2 ,…

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Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the point of tangency and equation of the tangent line of the following functions given a…

A: Given is the equation y=3x+2. The objective is to calculate the point of tangency and the equation…

Q: Find the equation of the tangent line to the function f(x) = ln (22 – 7x) at x = 1. (Use symbolic…

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Q: Find an equation of the tangent line to the graph of x° + 3xy² + y = 15 at the point (1, 2). y=

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Q: Use the definition of the derivative to prove that (vx +1) = tangent to the graph of y = vx + 1 at x…

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Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 4. Use implicit differentiation to find the equation of the tangent line of the following functions…

A: To find the equation of the tangent line of the function 2x2-3y-3=2y4 at 2,1

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: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

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 function f(x) = ln (13 – 4x) at x = 1. (Use symbolic…

A: We have to find the equation of tangent of ffx=ln13-4x at x= 1 at point x = 1

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: Find the equation of the tangents to the curve y = sin x at x = - T, 0, and ,. Graph the curve over…

A: given curve y=sinx to find equation of tangents at x=-π,0,3π2 also, to draw the graph of given curve…

Q: ) Find the equation of the tangent line to the curve y = 2x cos x at the point (π,-2π). The equation…

A: we have to find tangent to f(c) at x=pi

Q: 8. Use first principles to determine the derivative of each function. Then, determine an equation of…

A: Equation of tangent is given by- y - y1 =  m (x - x1)

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)

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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Q: 3) a. Use implicit differentiation to find the slope of the tangent line to the curve defined by y²…

A: (3) Consider y2=x3+3x2. Differentiating both sides of the equation results,…