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

Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: Find the equation to the tangent line of the curve y =x' +e' at x=0

A: We need to find the equation to the tangent line of the curve y=x3+ex at x=0. When x=0, y=1. Now,…

Q: 4. Determine equation for the tangent line to h(t) when t an

A: We first find derivative then apply slope fomula

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

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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 curve at the given point. y = x + sin(x), (1, n)

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Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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

A: According to power rule of differentiation ,ddx(xn)=nxn-1 and and according to product rule of…

Q: Find the equation of the tangent line to the curve y = 1+e¯* at the point (0,2)

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: Find the equation of the tangent line. to y=f(x) at point P. %3D

A: We have to find the equation of tangent to y=f(x) at P.

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: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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

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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 equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

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

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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 for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

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

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Q: Find the equation of the tangent line y=xeX  at x=0

A: equation of tangent line is y= x at x =0. Solution

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

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Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

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Q: Find an equation of the tangent line to the curve at the point (0, 1) y = e2x + sin 3x

A: Here is the solution of the given problem.

Q: Determine the equation of the tangent line to the curve, y = 4x e at x = 1. Use exact values.

A: Given y=e4xx3     at x=1To find equation of tangent:

Q: Find an equation of the tangent line to the curve at the  given point. y = x2 ln x, (1, 0)

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Q: Find the point(s) on the graph of y = (x2 – 168)e where the tangent line is horizontal.

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

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Q: Find the equation of the tangent line to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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

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Q: Find the equation of the tangent line to y=5e^x  at x=0

A: Slope of the tangent line to a curve is given by the first derivative of the curve at the point.…

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2m, 0)

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

Q: Find the slope of the equation of the tangent line to the curve at (0,1). 2x y = e2* cos IX

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

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Q: Find an equation of the tangent line to the curve y= e* that is parallel to the line y=1-2x.

A: Two parallel lines have the same slope

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

A: Topic- application of derivatives

Q: Find an equation of the tangent line to the curve at the given point. y = x° In(x), (1, 0)

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Q: Find an equation of the tangent line to the curve x e y + y e x   = 1 at the point ( 0, 1)

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Q: Find the slope of the tangent line of y= e+ xy at (1,0) .

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Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

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Q: Find an equation of the tangent line to y = f (x) at x = a.

A: The derivative of a function at a point gives the slope of the tangent to the curve at that point.…

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: At what point of the curve xy = (1 – x - y)2 is the tangent line parallel to the x-axis?

A: Given , xy=(1-x-y)2 . We need to find the point at which the tangent is parallel to x axis.…

Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…