1. Find the equations of the tangent lines to the graphs of the following functions at the points with first coordinate a. a. f(x) = b. f(x) = c. f(x) = and a = 3 1 and a = 2 4x and a = = -1

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

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Q: Find an equation for the tangent to the curve at the given point. f(x) = 4x -x+5, (16,5) OA. y= O A.…

A: Slope-intercept form is= y-y1=m(x-x1)

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

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Q: Find an equation for the tangent to the curve f(x) = at (-1 - 1). %3D

A: An equation for the tangent to the curve f(x)=1x3 at (-1,-1)

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: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

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Q: Q14 Find the equation of the tangent line to f(x) = 3lnx - 5x at x = 1.

A: We have to find the equation of tangent at the given point. First we will find the y-coordinate of…

Q: Find the equation of the tangent line to the curve at the given point. y = v2x + I, (4, 3)

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

Q: 4. Determine the value(s) of x when the functions y = same slope. (1 + x) and y = 2x° have tangents…

A: Topic = Application of derivative