Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the tangent line at (8,3)?

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: find equation for line parallel to y=4x-6 with y-intercept (0,3)

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: Find the equation of the line which is at a perpendicular distance of 5 units from the origin and…

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Q: Find the point on the curve y=lnx such that the tangent line pases through the point (2,4). Need to…

A: Given The equation of curve is   y =ln x The tangent line passing through (2,4)

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…