Find the slope of y(3x-y^2)=10  at (3,2)

Q: y = 4x° + 4x at (1, 2)

A:

Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

A:

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

A:

Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у)…

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…

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

A:

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…

A:

Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Find the slope of the tangent line to the curve - 2x2 + læy+ 3y = - 83 at the point (- 2, – 3).

A:

Q: FInd the derivative of y=(5x-3)5(2-x4)5

A:

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

A:

Q: Find the slope and equation of tangent line y=4-x^3, (-1,5)

A: Consider the given equation: y=4-x3 The point where tangent has to be calculated is (-1,5)

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: Find the slope and y-intercept of the line through the point (1,5) that cuts off the least area from…

A: In the question we have to find slope of line and y-intercept.

Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the derivative of y= 4tan5α

A:

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: What is the slope of the tangent line to the graph of the solution of y' = 7√x + 6x³ that passes…

A:

Q: Calculate the second and the third derivative of y = 4x 4 y": y" =

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: y=4x-4x Now…

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

A:

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

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

A:

Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: 1. What is the instantaneous slope of y = 5 at x = 5?

A:

Q: Find the point on the parabola y= -X-+4 whose tangent line is parallel with y= 3x-5,

A:

Q: 2. What is the slope of the line tangent to the curve 8x3 –- y² = 4 at the point (1,-2)?

A:

Q: The slope of the line through the distinct points (x1, yı) and (x2, Y2) can be interpreted as the…

A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

Q: Find the slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

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

A:

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: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show…

A:

Q: Find the equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

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

A:

Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

A:

Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…

A:

Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

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: What is the slope of the line tangent to the curve  y=7cosx when x=π/4?

A:

Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1