Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

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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: 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 for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

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Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

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 the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: Find the equation of the tangent line for f (x) = 2 sec(z) at z = 6

A: To find out the equation of tangent line.

Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

A: The objective is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the curve 3x f (x): at the point (1,). 1+5x2

A: Given: The function fx=3x1+5x2 and the point 1,12, To determine: The equation of tangent line to the…

Q: ) Find the equation of the tangent line ETL for f(x) = x³ - 2x +1 at x = −1

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Q: Find the equation of the tangent line to y = x2 at the point where x = 2.1.

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Q: Find the equation of tangent line to the curve f(x) = 2 – dt 1+t at the point x = 1.

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Q: Find an equation of the tangent line to f(x) = x° – 2x +1 at the point (0, 1).

A: The given function is: f(x)=x3-2x+1

Q: Find the equation of the tangent line to the graph of f(x) = (1 – x) Væ at x = 4.

A: topic - equation of a tangent line

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: 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 of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

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 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: Find the equation of the tangent line to y=cos (x)-sin(x)        at x=pi

A: The objective is to find the equation of the tangent line to y=cos (x)-sin(x)        at x=pi.

Q: Find the slope of the tangent line to the given curve at x = 3: f(x) = -V8x + 1 %3D

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Q: Find the equation of the tangent line of f(x)=x−(1/x) at x =1.

A: Given function is fx=x-1x Above function can be written as y=x-1x. At x=1, y=1-11=1-1=0 So, given…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = ex5 −…

A: The equation for the tangent line to the curve: (y - y1) = m(x - x1) m = f'(x)

Q: Find the equation for the tangent line to the curve y=f(x) at the give x-value. f(x)=ex^2-1 at x=1

A: equation of the tangent at the point ( x1,y1) with slope  y - y1 = slope ( x - x1)

Q: Compute the equation of the tangent line to f (x) = sin(Tx) at x=0.5.

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Q: Find the equation of the tangent line to the graph of h at the point (1, 0) xh += 1 = 2x2 + h where…

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Q: What is the tangent line approximation to e* near x = 4?

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

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Q: Find the slope of the tangent line to f(x)=ex at the point (1, e).

A: Given,         The slope of the tangent line to fx=ex at the point 1,e.

Q: Find the equation of the tangent line of f (x)= x² In x at x=1.

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Find the equation of the tangent line to the graph of f(x)= x ln(2x+3) at the point (-1,0).

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Q: Determine the equation of the tangent line to f(x) = sin(x) at x = π/3

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Q: Find the equation of the tangent line to the curve f(x)= Va. Assume f'( x) 1 at x = 4.

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Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2…

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

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

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

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

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

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Q: 1. Find the equation of the tangent line to x² – 3xy + y² = -1 at (2,1).

A: given that x2-3xy+y2=-1slope of tangent (m)= dydxdifferntiate the given curve with respect to…

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

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Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

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Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

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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) =…