Differentiate implicitly to find Then find the slope of the curve at the given point. x²y - 3x - 4 = 0; (2.7)

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Find an equation of the tangent line to the curve: 4x^2 - 24xe^y + y = 13 @ the point (-1/2, 0).

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Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

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

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Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x…

A: Note: As per company policy we are supposed to solve only one question. So, kindly re-post the other…

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Find equation of curve that passes through (4,5) if its slope is given by this equation:  dy/dx=2x-4

A: Given:

Q: Find an equation of the tangent line to the curve at the point (3, 7). y= x-1/x-2 +5

A: We can make it easier for you

Q: Find the equation of the curve that passes through the point (6, 6) if its slope is given by dy = 7x…

A:

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

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

A:

Q: Find an equation of the tangent line to the curve y= 10xat the point (1, 10).

A: Given: y=10x for finding tangent of given curve at given point we need slope m of tangent at given…

Q: Find an equation of the tangent line to the curve at the given point. x + 5 y = X - 4 -* (3, -8) y =

A: Solution: The objective is to find an equation of the tangent

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 4x)8,  (0, 1)

A: The equation of the tangent at a point (a,b)on the curve y=f(x) is given by, y-b=f'(a) (x-a)

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

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Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

A:

Q: find the slope of y=x^2-2x-5 at the point (2,-5) The equation of the tangent line to the curve at…

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Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

A:

Q: Find the slope of the tangent to the curve y = 3 + 4x – 2x' at the point where x=a. Draw the graph…

A: For finding slope we find dy/dx and put x=a

Q: Find the equation of the curve that passes through the point (8,2) if its slope is given by…

A:

Q: Find the equation of the curve that passes through the point (7,3) if its slope is given by dy = 7x…

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation…

A: topic - equation of tangent line to curve

Q: Find the slope of the line tangent to the graph of y = sin 2xat x = 5π/4.

A: Slope of the line tangent to the graph of y = sin 2x at x = 5π/4. y(x) = sin 2x y'(x) = (sin 2x)' =…

Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

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Q: Find the equation of the line tangent to the graph of y = 6eª at x = 4. Tangent Line: y =

A:

Q: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: The tangent line to the curve at the point (1,2) also passes through the d²y point (-1,4). If at any…

A:

Q: Find the equation of the tangent line to the curve y = x2 – 5 if the tangent line is parallel to the…

A: y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

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

A:

Q: Find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2)

A: Given equation of curve is y=x2-x-2. To find the equation of the tangent line to the given curve at…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: At (8,4) the value of C will be: 4=5(8)22-4(8)+C4=160-32+CC=-124 So the equation will be…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2,…

A: Given query is to find the equation of the tangent line t (2,-1).

Q: Find the equation of the curve that passes through the point (3, 8) if its slope is given by dy 3x –…

A: We have to find equation of curve

Q: Find an equation of the tangent line to the graph of the equation x + y – ex - Y = 5 at the point…

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Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y =…

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Q: Find the equation of the curve that passes through the point (6,6) if its slope is given by dy/dx =…

A:

Q: Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x3y = 6,…

A: To find dy/dx by implicit differentiation and the slope of the graph at the point (1,2)

Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: