Find Ax) if A1)--, and the tangent line at x has slope (3x- 1)e-*.

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

A:

Q: What are the equation of line passing through (-1,3) that is tangent to the curve x^2 + 4y^2 – 4x –…

A:

Q: What is the slope of the tangent line to the graph of X- xy-4y+2x +4y 8 at (4, -2)?

A:

Q: Show that the point (2, 4) lies on the curve x3 + y3 - 9xy = 0. Then find the tangent line and…

A: Given: f(x, y) = x3 + y3 - 9xy = 0 To find:  Equation of tangent and normal to the curve at point…

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A:

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

A:

Q: Pls help ASAP

A:

Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: Find the equation of the tangent line at the given point on curve.

A:

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: Where on the interval [0, 4] does ƒ(x) = 4x - x2 have a horizontal tangent line?

A: Determine the value for derivative of f(x) i.e f'(x). fx=4x−x2f'x=ddx4x−x2=ddx4x−ddxx2=4×ddxx−2xSo,…

Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: 4) Find the slope of the tangent line to the curve 4 y = 3(х3 — 2х2 + 3х — 5) at the point (2,) Give…

A:

Q: What is the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0)?

A: The objective is to find the slope of the tangent line to the graph of x^2-xy+3y^2-2x+4y=3 at (3,0).…

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

A:

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: at what point is the tangent line y3=2x2 perpendicular to the line x-y-1=0? P=(?,?)

A:

Q: What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line…

A: Given curve is : y=3x To find the slope of tangent at the point 5,35 and equation of tangent in the…

Q: is the tangent line to y= 1/2arctan(1/5x) at the point (5,π/8)?

A: Answer and explanation is given below

Q: Find the equation of the tangent line of funclion y= ²+1 23 -2 at (40,- 73)

A:

Q: Find the points on the graph of y = ex where the tangent line has slope 4.

A:

Q: Locate the point where the slope of tangent line to y=In 2x² IS –1- O (-1, In 2) O (-2, In 8) 9. In…

A: Given  y=log(2x2)Slope =dydxdydx=4x2x2=12x

Q: Find the eauation of the tangent line at (2,1) of 4+タ-25+4-o? 83- 258

A:

Q: How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do…

A: The tangent lines to the curve y=xx+1 passes through the point (1, 2)

Q: Find the slope of the line tangent to the graph of x2+2xy2+3y=31 at th epoint (2, -3)

A: To determine the slope of the tangent at the point (2, -3).

Q: What is the value of the slope of the tangent line to the curve *+4xy+y2=13 passing through the…

A: Note : As per guidelines, I have to answer Only one question, if you want other questions to be…

Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: Find the slope of the tangent line to the curve defined by 2.- 6zy – 9y? - -622 at the point (1,8).…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Find where the tangent line to y= (5x-1)2 (4x+7)3 is horizontel.

A:

Q: Locate the point where the slope of tangent line to y = In 2x2 is -1- 9. In 8. O (-2, In 8) In

A: Given that: y=ln 2x2

Q: A curve contains (3, 7) has slope of tangent line is 4x – 5. What is the curve equation?

A:

Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: At what exact point on the curve y = 9 + 2ex 5x is the tangent line parallel to the line 5x – y = 4?…

A:

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: How many tangent lines to the curve pass through the point (1, -3)?

A: We know that slope of the tangent at any point on the curve is equal to the value of the first…

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

A:

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point…

A:

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

A:

Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

A:

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

A:

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x++y*=32…

A:

Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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: