Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 5. (Type your answer in slope-intercept form. Do not round until the final answer. Then round to two decimal places as needed.)

Q: Find the equation of the line tangent to the graph of f a

A: Given, f(x)=2+lnx4; x=e

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Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

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Q: Find an equation of the tangent line to the curve 2ax? +y² – 6x = 0 at the point P (1, -2)

A: Differentiate the equation with respect to x to find the value of dydx. 4x+2ydydx-6=0dydx=3-2xy

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: find an equation of the tangent line to the graph of the function at the point (6,1).   y=3^x-6

A: Equation of tangent is given by: (y-y1)=m(x-x1) where , m=slope of the curve. You can find solve by…

Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find an equation of the tangent line to the graph of the function at the point (9, 1). y = 2x - 9

A: Concept - used the formula of y-y1 =m(x-x1)  Here m=dy/dx=slope

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find the equation of the tangent line of the given function at point (-1,3). Give answer in the…

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Q: Find the equation of the tangent line to the graph of y = x² + 2e* at the point (0, 2).

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: Consider the following equation. Step 2 of 2: Find the slope of the tangent line at (-1, 2). 2x² +…

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Q: Determine the equation of the tangent to the curve y = x+2 x = -1.

A: Here we have to determine the equation of the tangent line to the curve y=x3-1x+22 at the point…

Q: Find the slope and the equation of the tangent line to the curve y=x²+1 at x=0. Sketch the graph

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Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find an equation of the tangent line to the curve at x=0. Write in slope intercept form, y=mx+b…

A: We plug x=0 in the given equation to find the y at x=0 So, the point is (0,1)

Q: Find the equation of the tangent line to the curve y=1-x² that is parallel to the line 2x-4y=8

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Q: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: Find an equation of the tangent line to the curve at the given point

A: We have given the curve y = x5 + 3e5 and the point (0, 3). Find the slope at x = 0. Therefore, we…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Given function: f(x)=x+9 To find the standard (slope-intercept form) equation of the tangent line to…

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

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Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

A: 16y2+200x-160y+400=0 Differentiating with respect to x implicitly 50x+32ydydx+200-160dydx+0=0…

Q: Find the slope of the tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-

Q: 2x at x =1 y = Зх-1

A: Find dydx as follows. y=2x23x-1dydx=22x3x-1-3x23x-12dydx=23x2-2x3x-12 Find dydx at x=1 as follows.…

Q: Find the slope of the line tangent to the graph of y = tan-1 x at x = -2.

A: Given: y=tan-1x at x=-2

Q: Find the equation of the tangent to the curve y=tan(x) at the point: (,-V3)

A: we have to find the following

Q: Find an equation of the tangent line to the graph of y = e at the point 5,

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Q: Find equation of a line tangent to the graph: f(x) = xm) at xo = 1

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Q: Find the equation of the line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

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