Find the slope to the tangent line of the equation y2e2x = 3y+x² at (0,3) Hint: perform implicit differentiation dy/dx

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

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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: Calculate the derivative with respect to x of the other variable appearing in the equation. exy =…

A: Given, exy=siny2

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

A: Solution-  Equation of tangent is given by y = mx+ c ( where m is slope)    Given equation is  y = 7…

Q: Find the equation of tangent and normal to the curve x sin 2y = y cos 2x at 4 2

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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

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Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: π Find the equation of the tangent line to the curve y= Jx² –sin-(4x) at x =-. 4

A: We are given the equation, y=x2-sin24x at x=π4. Here,           dydx=x2-sin24x'…

Q: Find an equation of the tangent line to the curve at the given point. y = sin(2x) + sin²(2x), (0, 0)

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Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + ly 38 - at the point (1, – 3).

A: Given:   To determine: Slope of the tangent line to the given curve at point (1, -3)

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

A: given function is                                                    y=sinsinx tangent at point 2π,…

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: find an equation of the tangent line at the point specified. y = x3 + cos x, x = 0

A: Explanation: Given that,  y=x3+cosxand x=0   Calculation: Find the y-coordinate if x=0 Put x=0 into…

Q: Find an equation of the tangent line to y = 3 tan(x) at x = .

A: The given equation y=3 tan(x) at x=π4

Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: The slope of the tangent line to the graph of x2 – y? = ln(xy) at the point (1, 1) is

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Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 2x…

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Q: Find the slope of the tangent line to the curve 3x? – 4xy – ly3 : - 84 | at the point (2, 4).

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Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

Q: Find the equation of the tangent line to the curve f(x)=x9 ln(x2) at x = e. (Do not approximate)

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Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

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Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: Find the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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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: find an equation of the tangent line at the point specified. y = ex cos x, x = 0

A: Given- y=excosx To Find- An equation of the tangent to the above curve at the point x=0.

Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

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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 equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: Find the slope of the tangent line at the indicated point * y = Vx2 – 2x at x = 3

A: Here, y=x2-2x So, the slope of the tangent at x=3 is: dydxx=3

Q: Find an equation of the tangent line at the point specified. y = x3 + cos x, x = 0

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

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Q: Give the equation of the tangent line to the graph of 3sin y − ln(e sech x) = tan−1(x2y) + x/3 at…

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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 curve at the given point. y = sin(21n x), (1,0)

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Q: Find the equation of the tangent line at the given point. 4x = -5xy + 4y at (1,–4) y = arccos(5x) at…

A: See the calculation below

Q: Find an equation of the tangent line to y = 5 sin(x) at x 4

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

A: To find the equation of tangent to the curve given:

Q: Find an equation of the tangent line at the point specified. y = ex cos x, x = 0

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Q: At what point will the tangent line to the curve y = ln x + 2 tan−1 x be horizontal?

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the equation of a tangent line of y = sin(x + π) at the point π/6.

A: We find dy/dx first  Then we plug x=π/6 to find the slope of the tangent.

Q: . Find an equation of the tangent line to the curve sin(x + y) = 2x – 2y at the point (π, π).

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