Find an equation of the tangent to the curve given by = evi y = t – In(?) at the point corresponding tot = 1. Your answer should be in the form of y =f(x) without t' s. %3D y(x) =

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

A:

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Find an equation of the tangent line to the following curve at the given point. y = eX cos TX, (0,…

A: Given,          y=e9xcosπx ; 0,1

Q: Find the equation of the tangent line to y = e¯t at t = 0. y =

A:

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

A:

Q: Find an equation of the tangent to the curve y =x In x atthe point  (e, e).

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find an equation of the tangent line to the following curve at the given point. y = e9x cos πx,…

A:

Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

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

Q: At what point on the curve y = [ln(x + 4d)]2 is the tangent  horizontal?

A: Given function is, y=ln(x+4)2

Q: The tangent line to the graph of y = ln(2x) is perpendicular to a + 4y = 1 at the point where…

A: Given, The tangent line to the graph of y=ln(2x) is perpendicular to x+4y=1 Here, y=ln(2x) To find…

Q: 1. Find the equation of the tangent line to the curve: x = = VE, y = et %3D at t=1.

A:

Q: Find the equation of the tangent line to y = e-5t at t = 0. y =

A: Solution is given below:

Q: Find an equation of the tangent line to the glven curve at the specifiled point. y = (1, e) y =

A:

Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: 3. Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: it is given that; x=et   ; y=ln(t+1) at t=2 at t=2 ⇒x=e2 and y=ln(2+1)=ln3

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

A:

Q: Find the equation of the tangent line to the curve given by y. Sin (z) + e² - Tan (y – 1) = 0 a the…

A:

Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

A:

Q: Find an equation of the tangent to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

Q: Find an equation of the tangent line to the curve at thegiven point  y =  e x  / x…

A: Given curve is y=exx To find: Equation of the tangent line to the curve at point (1,e). Solution:…

Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

A:

Q: Find an equation of the tangent line to the given curve at the point (e, 0). y = ln(ln x)

A:

Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

A:

Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: Find the values of x between 0 and 2n where the tangent line to the graph of y = sin x cos x is…

A: The given function is y=sinxcosx. Since the slope of the horizontal line is zero, so the slope of…

Q: Find the equation of a curve having a slop by dy xy? у 3 ху? —, x > 0 dx and passing through the…

A:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: 22. Find an equation of the tangent line to the curve at a given point y = e* cos(x), (0, 1)

A: Given:      Curve y=ex cosx     point =0,1   Finding slope m of the tangent evaluating the…

Q: Find the derivative dydx of the function x=arctanet, y=1+e2t at t=0.

A:

Q: 4. Find the equation of the tangent line to the curve x = cost + tsint, y = sint – tcost at t = T/4

A:

Q: Find the equation of the tangent line to y = e-9* at t = 0. y =

A:

Q: Find the equation of the tangent to the curve y = sin(3x) COS(z) at z = 4.

A:

Q: A curve is defined implicitly by the equation x² + 3xy + y² = 1 Differentiate implicitly to find dy…

A:

Q: 1. Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

A: Question no. 1Given,            A n equation of the tangent line to the curve y=x at the point…

Q: 1. Find the equation of the tangent line to the following curves at a given point. . y = Vx +3 at x…

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

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Find the slope of the tangent to the curve y at (4, 2) xy – 4 dy dx 需= (Enter undef if the slope is…

A:

Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A:

Q: 1. Find the equation of the tangent line to y e* at x = 0. = - x²+1

A:

Q: f(x)=e*(7x' – 5x² + 2); at x =0

A: Given function: f(x)=ex(7x3-5x2+2) To find the equation of tangent line , find out slope at x=0…

Q: Find the equation of the tangent plane to the graph of xe*y- eyz = In(x?) at the point (1,1).

A: Solution

Q: Find the values of x between 0 and π where the tangent line to the graph of y=sin⁡(x)cos⁡(x) is…

A:

Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A(, v2). 4'

A: Point-Slope form of equation of line : y-y1 = mx-x1 where m is the slope of the line and x1, y1 is…