the line 3x+ y=l is the tangent line for the graph of y= f(x) at x=1, then f'(1)= 1 (C) 1 (D) 3 A) 3 (B) -3

Q: f(3) = -9 and f'(3) = 7 . Then the equation of the tangent line to the graph of y = f(x) at x = 3 is

A: Given Data: The value of function at x=3 is: f(3)=-9 The value of the derivative of the function at…

Q: f (x) = a?2 + bx + c  mtan =f’= 2ax + b   At what value(s) of x is the line tangent to the graph of…

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Q: Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y=…

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Q: Find an equation of the tangent line to y = xt + 2x2 – x at x = 2

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Q: Find an equation for the tangent line to f(x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x - 2) Oy=7x…

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Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: 3 =-=—= x³. - 4x² + 16x + 14 with tangent lines parallel to the line 20x - 5y = 2. Find all points…

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Q: Find an equation of the tangent line at the point P = (l, 1) on the curve in Figure with equation

A: Given figure is  where equation of curve is  y4+xy=x3-x+2

Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

Q: If f(x)=x²-10, find an equation of the tangent to the curve passing through the point (5, 1). A. y-1…

A: Given,.Given point is (5,1).

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: Let f(x) = 2x + 3 – 17e". Find the equation of the tangent line to the graph of f(x) at the point…

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Q: Use the graph of y = f' (x) to fill in the missing information.

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Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e - 2x, - 2x 3 fx) 2

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Q: Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope 4/x

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