Let f(x) = In(x"+1) Find the slope of the secant line thru x = 1 and x = 1.01.

Q: What is the slope of the tangent line to the graph of x-xy-4y2 +2x +4y 8 at (4, -2)?

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Q: What is the slope of the line tangent line to the curve x²y = y2 – 6x when x=2?

A: The given curve is x2y=y2-6x. Substitute x=2 in the above equation and obtain that,…

Q: Use implicit differentiation to find the equation of normal line to the circle y2 + x2 = 1 at the…

A: The solution for the above question is as shown below.

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

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Q: Assume every secant line of the curve y = f(x) has slope at least 3. Then every tangent line of the…

A: Given: Every secant line of the curve y=fx has a slope atleast 3.Then every tangent line of the…

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: Find an equation of the form y = f(r) for a curve with z-intercept 2 whose tangent line at any point…

A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

Q: Find the slope of the tangent line at the indicated point for: y = 2 at the point (1,2).

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Q: What is the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0)?

A: The objective is to find the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0).…

Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

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Q: Find the slope of the tangent line drawn to the graph of −4x^2−xy+3y^3=−200 at the point (−1,−4).…

A: Given function is : -4x2-xy+3y3=-200 To find out slope of tangent dydx at -1,-4 Differentiating…

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: Estimate the slope of the tangent to the curve y 0.25x at x = 2 algebraically by finding the slope…

A: We have to find the slope of the tangent to the curve at x=2 by finding the slope of the secant…

Q: Find the slope of the tangent line to the curve 3x + læy + 3y° = - 199 %3D at the point (1, – 4).

A: we know that the slope of the tangent to the given curve is =dy/dx.

Q: Determine the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (√2, −1/√2).

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Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

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Q: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

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Q: Inc is perpendicular to the linez =7 at the point where The tangent line to the graph of y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

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Q: The slope of the line through the distinct points (x1, yı) and (x2, Y2) can be interpreted as the…

A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

Q: Show that no tangent line to the graph of f (x) = tan x has zero slope. What is the least slope of a…

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Q: Determine the gradient of the straight line which is tangent to the graph of f(x)= tan^-1(ln x) at…

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Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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Q: Find the slope of the line tangent to the graph of x2+2xy2+3y=31 at th epoint (2, -3)

A: To determine the slope of the tangent at the point (2, -3).

Q: Show that the slope of the secant line for f(x) = x 3 - 2x over[5,x] is equal to x 2 + 5x + 23. Use…

A: Given: y=fx=x3-2x; 5,x we know that slopem of secant for any given functionfx over a,b is given by…

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: Find an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

Q: 4 at the point ( 3, The slope of the tangent line to the curve y is:

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Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 2).

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Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

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Q: 8. Write the equation of the normal line to the curve In x+ ye =-e at (1,-1) in slope-intercept form…

A: Equation  of normal line y-y0= 1/(-dy/dx) (x-x0)

Q: Locate the point where the slope of tangent line to y-n 2r2 s

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Q: 2. Find the curve that passes through the point (1, 3) and whose tangent line at (x, y) has slope

A: Solve for the curve

Q: Find the gradient of the tangent line to the curve x² + y =10 at x=1, where y > 0. %3D

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