Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x – - 3. dx

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

A:

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (4x +…

A:

Q: Find dy / dx by implicit differentiation. Then find the slope of the graph at the given point.

A: 3x3y=6differentiating both the sides6x2y+3x3dydx=0dydx=-6x2y3x3dydx=-3yx

Q: Find the equation of the  tangent and normal to the curve y=5x4 at the point (1,5)

A:

Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)…

A: The given problem is solved below in detail.

Q: Find the equation of the curve that passes through the point (7,5) if its slope is given by dy 3D 8х…

A: We have to find

Q: Find the equation of the tangent to the curve y= (5 – 6x)* at the point (1,1).

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: 3x3y=6                      Point 1,2x3y=2differentiation w.r.t to xx3dydx+dx3dxy=ddx2⇒x3…

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: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

A:

Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

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

A:

Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the…

A:

Q: Find the equation of the curve that passes through the point (8, 8) if its slope given by dy 3D 7х —…

A:

Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

Q: Find the slope of the line tangent to 2xy + π sin y = 2π through the point (1, π/2).

A: The slope of the line tangent to 2xy+πsin y=2π through the point 1,π2.

Q: Find an equation of the line tangent to y = xsin x at the point x = 1.

A: The given equation is y=xsinx.

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: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

A:

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

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 for the line tangent to the curve 2exy = x + y

A:

Q: Find the equation of the tangent line to the curve y = 2 + 3 cos x if the tangent line is parallel…

A: We have to find the tangent line to the curve .

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

A:

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

A:

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: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

A:

Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

A:

Q: Find equations of the tangent and normal line to the curve y (2x+1) %3D at x=2. (3x2-2)

A:

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 y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find the equation of y, given the derivative and the indicated point on the curve. y = 2(х - 1) dx y…

A:

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

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

A: Equation of tangent line

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

A:

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 the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: This question is based on diffrentiation.

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…

A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.

Q: Can you please help me step by step with this problem?

A: To find the derivative of the given function (fractional power)

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

A: