Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: Find the gradient of 3e In(4x - 3) when x = 1.

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Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: Find an equation of the tangent line to the curve y= x3 – 3x2 + 5x that has the least slope.

A: Given    slope is 1st derivative

Q: What is the slope of the curve y = x2 (x + 1)3 at (1, 8)?

A:

Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: Calculate the derivative of the exercise: y=(4x3+3)4(x+1)-3

A: To find: The derivative of below expression.

Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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Q: Find the slope of the curve y = 2x(x-1)° at point (1,-1). %3D O -1 O 4 O 2 O -2 O 1

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Q: compute the derivative y = (2 + 9x2)3/2

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Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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Q: Find the derivative of the function. 2 + 4x – 9Vx – 10 y = 10x5 %3D - x3

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Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

A:

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Find the derivative of 4x +2 -(2) Y = -2x-4

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Obtain the derivative of (2r²-1)* 8. у %3 (5-3х)4

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Q: Find the equation of the tangent line to the function f(x) 8vx - 4 at the point (64, 60). Provide…

A: Calculate the slope of the given function;

Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: Find the derivative for ()= 2z²+9 %3D 3-5z

A: Consider the function

Q: compute the instantaneous slope at: (-4, 8) • Start with two points A : (-4,8) and B: (-4 + h, ?)…

A: Given the function f(x)=18x2+x+10We have to find instanteneous slope at (-4,8)

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: Find the derivative. 4. y = 3x 6x - 7

A: Given  y=3x4+6x3+7 To take derivative , we apply power rule for each term  ddxan=nan-1 Derivative of…

Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: What is the slope of the line tangent to the curve 8x3-y2=4

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Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

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Q: Find the derivative. y= 4x²e- x- y%3D4X

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Q: 2. 2x +1 %3D 2.

A: We have to find the derivative of y

Q: find the slope of the line tangent tothe graph of ƒ(x) = -5x + 1 at the point (1, -4).

A: We have to find slope of tangent line to the graph of fx=-5x+1 at the point 1, -4. We know that…

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Find the derivative. 4- 3 y 3 5x 4x+3x2 20x2-15x2 -7 5x O4x3+ 3x2-7 ,家 4x²+3x2 20x-15x4

A: Option D is correct.

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

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Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

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Q: Find the slope and y-intercept of the line through the point (1,2) that cuts off the least area from…

A: Given : Point ( 1 , 2 )  It cuts off the least area from the first  quadrant

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.