Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent line of h(x) has the largest slope at this point.

Q: Estimate the slope of the tangent line of the function f(x) = 2e* at the point x = e. %3=

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Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

Q: Find the slope of the tangent line to the graph of f(x) = x2 - x at (4, 12).

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Q: Find an equation for the tangent line of the graph of f(x)=x^2-1 at (4,15).

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x) =√x at (1, 1).

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Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: If f(x) =x'e*, find the slope of the tangent line at the point 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 of the tangent line to the graph of y = x2 where x = -.2.

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Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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Q: Find the slope of the tangent line to the curve - x² – 3xy + 3y³ = at the point (1, − 3). - 91

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Q: Find the equation of the tangent line to the graph of f(x)=x^2cos(x) at x=0

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Q: Find an equation for the tangent line to the graph of f(x) at x = 1.

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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 the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: Find the equation of the tangent line to the graph of the function f(x) = x² +x – 1 at the point…

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Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

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Q: What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point.12

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Q: Find the equation of the tangent line to the graph of x3 -xlny+y3=2x+5 at the point where x=2

A: x3 -xlny+y3=2x+5 To find out the equation of tangent line , we need to find out slope  Slope is the…

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Determine the slope of the tangent line at t = 2

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Q: Find the gradient of the tangent line to y when x =- 1

A: The explanation of answer as follows

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: Find the slope of the tangent line to the curve x²-3y=4y³ at x=-1

A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2  -3y Differentiating…

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 of the tangent line to the graph of f(x) = 1 at the point (2,1). x-1

A: Consider the graph of function, To calculate the slope (m) of the tangent line at the points (2,…

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

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Q: Find the exact value of the slope of the tangent line to the graph of 3x2+xy−3y3=1 at the point…

A: The slope of the tangent to a curve y=fx at a point x1,y1 is defined by the formula, Slope of the…

Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

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: दलालभ यला Find an equafion of the tangent line to the ceurve at the grven point. y=x3-3x + 1, (2,3)

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Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

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

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Q: Determine the slope of the tangent line at t = = -1

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Q: Find the equation of the tangent line to the graph of the function f(x)=x+1x−6 at the point (0,−16).

A: Equation of tangent is y-y1=m(x-x1) where m is the slope.

Q: Find the tangent line to the graph of x (x² +y² ) = y² at the point

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Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

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Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: a) What is the slope of the tangent line to the graph of f at x= n ?

A: Given, fx = 4cos2x -2esin3x  We have to to find the slope of the tangent line to the graph of f at x…

Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

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

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Q: What is the slope of the tangent line to the graph of y = at x =1 %3D x+1

A: Given expression of the curve, y=e-xx+1

Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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