Estimate the slope of the tangent to the curve y 0.25x at x = 2 algebraically by finding the slope of the secant between 2 points near x 2.

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

Q: Find the equation of the tangent line to y = 4cos(3x) at x =

A: We have to find the equation of tangent line

Q: Find the slope of the tangent to the curve y x3 at (6, 3) xy + 6 dx (Enter undef if the slope is not…

A: Given that: y2=x3xy+6 at (6, 3)

Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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Q: Find the equation for the tangent line of the graph of y = x° at (0,0).

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Q: Find the slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is…

Q: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

Q: Find the point where the tangent line to y=x2 at x=0.4 crosses the x-axis. x-intercept =

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Q: 4. x-y = 2 at (2, 2)

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Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

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Q: Find the point where the tangent line to y = x* at x 0.3 crosses the x-axis. x-intercept =

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Q: Find the slope of the tangent to the curve y at (2, 1) xy + 6

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Q: Determine the equation of the tangent line to the curve y = f2 (x) at x = −2con

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

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Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

Q: ind the slope of the tangent line to the curve y = V4x – 3 at the point (13, 7).

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Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Find the slope of the tangent to the curve at y^2 =[x^3]/[xy+6] at (2,1)

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Q: Find the slope of the tangent and normal to the curve  y=2x2+3sinx at x=0

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Q: Find the slope of the tangent line to the curve x²-3y=4y³ at x=-1

A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2  -3y Differentiating…

Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

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Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

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Q: Find the slope of the tangent to a parabola y=x^3 at a point on the curve where x=2

A: Consider the following equation:

Q: Find the equation of the tangent line to the graph of y(x) 7z at a = 0. quation of the tangent line…

A: As we know that the first derivative of the function is equal to the slope of the tangent line to…

Q: Determine the slope of the tangent line to the curve y= In x^2 at x = e^2

A: The given curve is

Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1

A: We need to find the equation of a tangent line to the curve y=xe2x at the point where x=1. Now,…

Q: Find the slope of the tangent line to the curve 4.x + xy – 4y° = 37 | at the point (3, – 1).

A: Formulae: 1.d/dx(f(x).g(x))= f'(x) . g(x) + g'(x). f(x) 2. Slope of any curve, f(x) =m= d/dx{f(X)}

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: Find the slope of the tangent to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

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Q: Find an equation for the tangent to the curve y = at x=2

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Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

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Q: Find the slope of the tangent to the curve y = xcos 3x at x=

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Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the slope of the tangent to the curve x° + 4xy+ y² = 13 at (1, 2). The slope is (Enter undef if…

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Q: Find the equation of the tangent line to the curve y=x-6cos(x) at the point (0,-6)

A: We have to find equation of tangent line to the curve y=x-6cos(x) at the point (0,-6)  Now first we…

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 slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: What is the slope of the tangent line to the curve x2 – xy + y² = 1 at (1, 1)? %3| -1 1 1

A: Given curvex2-xy+y2=1differentiate…

Q: The slope of the tangent line to the curve y=2e10xcos(-6x) at x-0 is

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Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

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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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