Find an equation of the tangent line to f at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: Find an equation of the tangent line to the graph of  y = x(x + 3)5 at the point (1, 1024).

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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 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 f at the given point   f(x)=(2x+1)/(x+2),…

A: Given  fx=2x+1x+2 To find tangent differentiate the function f'x=x+22-2x+1.1x+22     =2x+4-2x-1x+22…

Q: Find the equation of the tangent line to f(x) = 4+4x at a = 4.

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Q: Write the equation to the tangent line to the graph of f (x) = In( x² – 3) at the point (2,0) -

A: Using formula of equation of tangent line to the graph

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

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Q: Find the tangent line to g (x)

A: Given, g(x)=16x-4x

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Q: Find an equation for the tangent line of the graph of f(x)=x^2-1 at (4,15).

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Q: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

Q: Find the equation of the tangent line to f(x)=5+2x  at  a=2.

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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: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and g' (2) =-3.

A: g(2)=7 and g'(2)=-3 , we have to find tangent line

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 a number 0 such that the tangent of 0 degrees is larger than 50000. 42.

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Q: Find the equation of the tangent line to the f(x) =4 + 4x at a=2

A: As we know that tangent is a straight line. And also that tangent of a curve or a line is have…

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

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Q: Find where the tangent line is horizontal for x to the power of 3 +3x to the power of 2 -9x +3

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Q: Find an equation for the tangent line to the graph of f(x) at x = 1.

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Q: Find an equation of the tangent line to the graph of the function f(x) = x² In x when x = 1

A: Given: f(x)=x2lnxx=1

Q: Find a positive number 0 such that the tangent of 0 degrees is less than -90000. 49

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) =5/3x + 9,…

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Q: Find the equation of the tangent line at the given point. 1 :- x, (-1,2) Vx2 f(x) = 3

A: Here we use the equation of tangent line:

Q: Write an equation for the tangent line at (c, f(c)) f(x)=sqrt(x); c=4

A: Given function is x Slope of f(x) at any point is given by, m=f'(x)

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

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Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: Find the equation of the tangent line to the graph of the given function at the point with the…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x)= 5/3x+9,…

A: The slope of the tangent line to the graph of the function is equal to the first derivative of the…

Q: Find an equation of the tangent line to the graph of the function at the indicated point. (2, 1)…

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Q: Find an equation of the tangent line to the graph of the function f(x) =tan(2x) at (?/8,1)

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

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Find the equation of the tangent line to the graph of f at (25,5)    f(x)=√x

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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 function f(x) = –3x² form y - 2x at the point where x…

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Q: Find the equation of the tangent line at the given point. 1 f(x) = х, (-1,2) Vx2 3

A: We have to find the equation of the tangent line of  f(x) = 1x23-x  at (-1, 2).

Q: Find an equation of the tangent line for the following functions a points. 4 – 3x2 + 2 at a point…

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Q: Find two integer values of b so that y = -x +b is an equation of a tangent line to the graph of y =…

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and gʻ(2) = –3.

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Q: Find a formula for the tangent line to f(x) = x² – x at x = 0

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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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: An equation of the tangent line to the graph of 5 – x* at (1, 1) is 4

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 –…

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Q: Find the equation of the tangent line at =n/6. r tan O

A: We Have to find

Q: find the equation of the tangent line to the graph of f at the given point f(x)=(x+9)/(x-1), (1/2,…

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Q: Find an equation for the tangent line to the graph of f(x) = x+7 at (4,23).

A: Given: f(x)=x2+7 To Find: An equation of a tangent line to the graph of the given function at…

Q: Find an equation of the tangent line to the graph of the function f (x) = (2x – 1) In x when x = 1

A: Given function is f(x)=(2x-1)ln(x) Slope of the graph of f(x) at any point is given by, m=f'(x)

Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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