Find the tangent line approximation for v3 + x near x = 4. V

Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: Find the equation of the tangent line to the curve J (x) = ta n(x) in point-slop %3D at x =

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Q: Find the slope of the tangent line to the curve given in the specific value of x x²y3 – 2xy = 6x + y…

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Q: Find a formula for the error E(x) in the tangent line approximation for f(x)=√(1+x) near x=a=0 ?

A: Differentiate the function f with respect to x, to find f'(x). Substitute 0 for x in fx=1+x and…

Q: Find the equation of the tangent line and normal line to the curve y= √( x− 3) at (4,1).

A:

Q: Find the slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the tangent line to the curve

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Q: Find the tangent line approximation for V5 + x near a 4.

A: Find your answer below

Q: +Inz Determine the equation of the tangent line to the graph of f(r) = V3 + 5t5 dt at x = 1.

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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: Y = ( ***)3 x+1 at x = 3 x-1

A: the equation of the given curve is: y=x+1x-13 the given point is x=3 we have to find the equation of…

Q: Find the equation of the tangent line to the graph of y = f(x) at r = 3. %3D f(x) = In(x – 6|) y =

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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: 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: FIND THE SOPE OF THE TANGENT LINE TO 5x) AT THE POINT (x, 9(x)). 2.

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Q: Find the exact equation (without decimal approximations) of the tangent line in the form y = mx + b…

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Q: Find the tangent line to the function y = x^2 at (1,1).

A: The given function is: y=x2 Now differentiate it with respect to x: y'=ddxx2y'=2x Put x=1 in y' to…

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

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: 3. y = ( lat x 1

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Q: Estimate the slope of the tangent line to f(x)=tan(x) at the point x=5pi/4

A: f(x)=tan(x) at the point x=5pi/4

Q: Find equations of the tangent and normal line to the curve y = x cos x at x = t/2.

A:

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: The slope of the tangent line to the graph of the function y= Ttx- cotx at x=0 is O T+1 O T-1

A: Solution is given below:

Q: Find the slope of the tangent line to the curve given by x + y° = 2 at the point (1, 1) -1 O 1

A: find the slope of the tangent to the curve x5+y5=2 at (1,1)   d(xn)dx=nxn-1

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 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 equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line at the given point x/(x+1) + y/(y+1) = 1 at (1,1)

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Q: Find the eguation for the tangent line to y = fcx) at the specified point. fcx)= xe-X ; where X=O ノ

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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 the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

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: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

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

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Q: Find the x-coordinate(s) of the point(s) on the graph of y = x + sinx at which the tangent line has…

A: Graph of y=x+sinx

Q: Find the tangent line to y = f(x) at the point (0,–5).

A: We have to find the equation of tangent from the curve f(x) and point

Q: . Find the slope of the tangent line to sin(z – x) + y° cos.x = y at( А. 4 В. -1 С. О D.

A: This is the final solution of given question.

Q: Find an equalion of the tangent line to the curve at the given point. y= (1+x) cos x, Co, 1)

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Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate V9.2

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

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Q: x+2 3. y = ( X-2 at x = 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: 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 y = g(x) =x? + 2 cos(x) at the point where x= 2

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Q: the slope of the tangent line to y= f(x) at x=c is ?

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Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

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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: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.

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

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: