Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: a). Slope of the curve is the derivative of the curve at the given point. So differentiating given…

Q: Find an equation of the tangent line to the curve at the given point. 2x + 1 y x + 2 (1, 1)

A: Given, y=2x+1x+2Point=1, 1

Q: Find the equation of the tangent(s) to the curve x =

A:

Q: Find the equation of the tangent line to the curve at the given point.   y =?

A: The objective is to find the equation of the tangent line to the curve at the given point.

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

A:

Q: find the slope of the tangent line to the graph at the given point

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: Find the equation of the tangent line to the curve y= (x-3)°(x+2) at the point (4,36).

A: Given,  The curve   y = x-38x+22   We have to find the equation of the tangent line to the curve at…

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: The given function is y=x2-4x and the point is 1,-3

Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 3x + 1, (2, 3) y =

A: The slope of the tangent to a curve at any point is given by the derivative at that point.

Q: Find the equation of the tangent line of the curve

A: Given,cotx+y-sinx-y=1differentiating both the sides…

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, y=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: Determine the slope of the tangent line at t = 2

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: find an equation of the tamgent line to the given curve at the specified point

A: We find the derivative of the given function first. using quotient rule

Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: Find the equation of the tangent and normal to the given curve at the given point.

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

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: An equation of the tangent line to the curve C at the point (1, 2) is

A:

Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

Q: The equation of the tangent line to the curve of  at  is

A: let  yx be given curve and a,b be a given point.then   dydx is slope at a,b denoted by   mdydx ( at…

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

A: Given curve, y=5xx+3 we have to find the equation of tangent line to the given curve at point (2,2).…

Q: Find an equation of the tangent line to the given curve at the specified point. y =

A:

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: We have to find: a slope of the curve at the given point P and b an equation of tangent at the given…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following equations at…

A: To Determine:  Find the standard (slope-intercept form) equation of the tangent line to the…

Q: Find an equation of the tangent line to the curve at

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Q: For the curve whose equation is given by x2 - 3xy + y2 - 4x + 2y +1 = 0, find the slope of the…

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

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Q: Find an equation for the tangent line to the following curve at the point where x = 1.

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the point of tangency and write the equation of the tangent line at this point. B

A: The tangent to a circle is defined as a straight line that touches the circle at a single point. The…

Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

A:

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Find an equation of the tangent line to the graph of y = xeX at the point ) y =

A: y=xe^-3x

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

A:

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…