Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3; (-2, 1)

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: y = x(4x – 1)², (5;) \2':

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Q: Write the equation of the line tangent to the graph of y = x3 at the point where x = -1.

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Q: Use implicit differentiation of the equations to determine the slope of the graph at the given…

A: Given: xy3=2 To determine the slope of the graph at the given point at x=-14 and y=-2. Solution:…

Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c.…

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Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

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

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

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Q: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is…

A: The derivative of xn is nxn-1 for n≠0. The derivative of f(x)+g(x) is f'(x)+g'(x). The derivative of…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: h(x) = -3x° – 5x + 20r + 60r

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Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

Q: Find the equation of the curve whose slope at any point is equal to x+1/x+y/x and which passes…

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=…

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Q: find the slope of the curve y= 1/4 x^3 - 2x at the point p (2,-2)

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Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: Follow the procedure given below. Here,option is wrong, correct ans i given below with solution.

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

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Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: Given that a line passes through (x1, y1) and has a slope m

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

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Q: Find the slope of the curve y =x – 2x at the point P(2,-2). 4

A: To find the slopey=14x3-2x at the point(2,-2).

Q: Find the equation of the curve whose slope at any point is In and which xy2 passes through the point…

A: Point (x1 , y1) = (1, -2) Slope = ln1xyxy2

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: Given the equation X^3+ Y^3 =28x Find the slope of the tangent line at the point (1,3)

A: Question is solved.

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

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Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

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Q: find the slope of the curve at the given points y2 + x2 = y4 - 2x at (-2, 1) and (-2, -1)

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

Q: Find an equation of the line that is tangent to the graph of fand parallel to the given line.…

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Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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Q: Find the equation of the curve whose slope at any point (x, y) is given and which passes through the…

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Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

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Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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