-2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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Q: y = 3x?+1 ; (0,1)

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Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

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Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: Find the slope of the tangent line to the curve - 2a? – 2ry – 2y = - 38 at the point (- 4, - 1).

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Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: Find the equation of the tangent line to the graph of y = 2x +- at the point (1,5).

A: We have given

Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: Find the equation of the tangent line to the curve y=5x³-1 at x= -1.

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Q: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

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Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 4y° 3 242 at the point (- 1, 4).

A: Given curve is -2x2+3xy+4y3=242. To find: Slope of the tangent line to the given curve at the point…

Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: Write the equation of the tangent line to the curve (a lemniscate) 2(x2 + y²)“ = 25(x² – y²) at the…

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Q: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

Q: 18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation y=…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3…

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Q: find the equation of the tangent to the curve y=3x(squared)-8x+1 at the point where x=1

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: If f(x) = 5x2 − x3,find f ' (1) and use it to find an equation of the tangent line to the curve y =…

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Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: Determine the equation of a tangent to the curve: y =. (x3 - 5x + 4)(3x2 - 2x) at the point (1,-2)

A: The given curve is y=x3-5x+43x2-2x at the point 1,-2.

Q: Find equations of the two tangent lines to the graph of f(x) = that pass through the point (-1, -3).…

A: Let the point on the curve c,c2 on the curve through which the tangent line passes, As we know that…

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: Determine the equation(s) of the tangent line(s) to the graph of r3y-xy, 6 when x--1

A: The point on the graph x3y=xy2+6 when x=-1 is given by plugging the value in the equation,Hence, the…

Q: If f(x) = 9x2 − x3, find f '(2) and use it to find an equation of the tangent line to the curve y =…

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Q: Write the equation of the tangent line to the graph of y = x at the point x = - 0.7.

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Q: Find the slope of the tangent line to the curve - 2x2 + 4ry – 3y - 63 at the point (3, 3).

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Q: If f(x)  = 3x2 -x3, find f'(1) and use it to find an equationof the tangent line to the curve  y=…

A: Given that, y=fx=3x2-x3      ...(1)

Q: Find an equation of the tangent line to the curve defined by y=2x2-5x+8 when x=2.

A: Given:

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: Find the slope of the tangent line to the curve – 4x - 422 3ry + 4y° = 14 - at the point (- 3, 2).

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Q: Find an equation of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

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