Q7/Find a point where the tangent line to the graph of f(x)=x-x2 is parallel to the line x+y-2=0. Then write the equation for this tangent line? Sol. (1,0) , y=1-x

Q: Find an equation of the tangent line at the given point.…

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: What is the equation of the tangent line to the curve y = - 2x2 +5 at (-2, 13)?

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Q: At which point on the curve y = 5+ 2e- 3x is the tangent line parallel to the line 3z-y= 5? Just…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  here coefficient of…

Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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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: At what point on the curve x = 3t2 + 5, y = t3 - 5 does the tangent line have slope ? (х, у) %3

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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: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: What is the value of the slope of the tangent line to the curve X-– 2xy - 2y=1 passing through the…

A: GIVEN CURVE : x2 - 2xy - 2y2 = 1             POINT : ( -3 , -1) TO FIND : SLOPE OF THE TANGENT TO…

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 the equations of the tangents to the curve x = 6t2 + 2, y = 4t + 2 that pass through the point…

A: Equation of tangents: y-y1 = m(x-x1) m=dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now do…

Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: Find the equations of the tangents to the curve x = 6t2 + 4, y = 4t3 + 2 that pass through the point…

A: we have to find the equation of the tangent line

Q: 4) Determine an equation for the tangent to the graph of the curve y = (6x - 3)(-x? + 2) when x = 1.…

A: Note: To draw the tangent of a curve at a given point, first we have to find out the slope of the…

Q: At what point on the curve x = 9t2 + 7, y = t - 5 does the tangent line have slope ? (x, y) =

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Q: Find the equations of the tangents to the curve x = 6t2 + 2, y = 4t3 + 2 that pass through the point…

A: Given data:     The first equation is: x=6t2+2. The second equation is: y=4t3+2. The given point is:…

Q: At what point on the curve x = 3t2 + 2, y = t3 – 2 does the tangent line have slope ? (х, у)

A: Slope of the line = dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now divide dy/dt by dx/dt.5

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. f(x) x2-4x…

A: Given :                      f(x) = x2 - 4x + 6 Differentiate,                     f'(x)  = 2x - 4…

Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

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Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: Q3/ Line A with equation y = -8x – 18 is tangent to the curve with the equation y = 4x + 2x? Find…

A: Given : The equation of the tangent line is y = -8x-18. The given curve is y = 4x+2x2

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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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 for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

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: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: At which point on the curve y = -2 + 2et – 3x is the tangent line parallel to the line 3x – y = 5?…

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

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. (3.0) f…

A: First, check if the given point lies on the curve, f(x) . If the point is on the curve, then compute…

Q: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

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Q: Find the slope of the tangent line to the curve – 32? + 4xy – 3y3 - 236 at the point ( - 2, 4).

A: Given curve is   -3x2+4xy-3y3=-236  Formulas used: ddxxn=nxn-1ddxconstant=0ddxu·v=vdudx+udvdx…

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

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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 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 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 an equation of the line that is tangent to the grapt Function Line 4x-y+2 = 0

A: Since, we have been given up the function:-f(x)=2x2 -(i)Differentiating equation-(i), with respect…

Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1

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Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point…

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

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Q: What’s the equation of the tangent line to the curve y = 5ln(x^3 - 7) at the point (2,0)

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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: What is the value of the slope of the tangent line to the x²+4xy + y=13 passing through the point…

A: Topic = Application of Derivative  As per guidelines, At a time only one question can be answered…

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: