The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) ete .If the curve passes through the x – axis at x = ln |2|, determine the equation of the curve.

Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

A: given: x3y + y3x= 10differentiate given equation with respect to xx3 ddxy + y ddx x3+ y3ddxx+ x ddx…

Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

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 to the graph of the function at the given point. ex + e-X y = 7…

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Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find the equation of the tangent line to the graph of y at (2, 금). Use the limit process in finding…

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Q: what is the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2^x) at x =…

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Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

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Q: Find the point(s) on the graph of y = x' – 3x at which the tangent line is horizontal.

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = ln(x7/2);…

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Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

Q: Find the slope of the tangent line to the curve of y = x 2 at the point where x = −6

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: At how many different values of x does the curve y = x +2x have a tangent line parallel to the line…

A: Given equation of curve is Differentiating with respect to x, we get

Q: At how many different values of x does the curve y =x+ 2x have a tangent line parallel to the line…

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Q: ) Find the equation of the tangent line ETL for f(x) = x³ - 2x +1 at x = −1

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Q: find an equation of the tangent line at the point indicated. y = log2(1 + 4x−1), x = 4

A: We have to find an equation of the tangent line at the point indicated. the given function is…

Q: Find the equation of the tangent line to y = at 3 - x X = 1.

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Q: Find the equation of the tangent line to the curve f(x)=x9 ln(x2) at x = e. (Do not approximate)

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Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: The equation of the tangent line to the graph of f(x) = vx+1 At the indicated point (3,2) is:…

A: The given function is fx=x+1. Evaluate the slope of the function at the point (3, 2) as follows.…

Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: The slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (3,3) is

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Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

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Q: Find an equation of the tangent line to the graph of the function                         y = 4x…

A: The given equation is y=4xarccosx-1.   Find the slope of the tangent line by differentiating the…

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

Q: What is the tangent line approximation to e* near x = 4?

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Q: Find the equation of the tangent to 1 y =- at x = 3 X

A: Given curve is y=1/x

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: . Find the slope of the tangent line at the point P of (x² + y² )° = 4xy; P(1,1).

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Q: Near x=0, the tangent line approximation gives 4e^(-4x) ≈

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Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

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Q: Find the tangent line to y = f(x) at the point (0,–5).

A: We have to find the equation of tangent from the curve f(x) and point

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x2 −…

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: Find the tangent line to y = √(x2 - x + 7) at x = 2.

A: Differentiating with respect to x, we get

Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

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Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

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

A: Given: f(x)=e-xln(x)

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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