Use the limit definition of the derivative to find the slope of the tangent line to the curve flr)=3x² at I=1

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

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: Use Eq. (2) to find the slope of the tangent line to r = θ at θ = π2 and θ = π.

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Estimate the slope of the tangent line at the point indicated. P(x) = ex ; x=0

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(r) =…

A: Question is solved.

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

A: Find your answer below

Q: Find the equation for the tangent to the curve at the given point using the limit definition of…

A: Find the equation for the tangent line to the curve at the given point by using the limit definition…

Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: Find the slope of the tangent line to the curve 3 - 2x² + xy + y² I at the point (4, 1). - 27

A: This question is related to slope of line, we will solve it using given information.

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(z) = 7x +3x…

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Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: Find the slope of the tangent line at the indicated point for: y = 2 at the point (1,2).

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 6x +…

A: Formula use Instataneous rate of change og f w.r.t x at a i f'(a) = lim f(a+n)-f(a) / n…

Q: What is true about the slope of the tangent line to the graph of f(x) = In x as x→ 0? As x 0?

A: fx=lnx Slope of the tangent line is the derivative of the given function. So differentiating given…

Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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Q: Find the slope of the tangent line to y=3x at x=0.   Show all work please

A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

A:

Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Estimate the slope of the tangent line at the point indicated.

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Q: Estimate the slope of the tangent line at the point indicated f(x) = ex :   x=0

A: Find out the slope of the tangent line at the point indicated f(x)=ex : x=0. Slope of the tangent is…

Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

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: Show that the tangent lines to the curve y = (π sin x)/x at x = π and x = -π intersect at right…

A: The equation of the curve is y=πsinxx

Q: Find the slope of the tangent line to the curve defined by 9x^2+7xy-4y^3=432 at the point (-9,3).

A: We have given the curve Here, the equation has to be differentiated implicitly.

Q: Why is the limit of the secant line PQ to a curve as it approaches zero is the same as the slope of…

A: As h approaches zero, the slope of the secant line ms approaches the slope of the tangent line mt

Q: The Tangent Line to a y= f(x) at x = c has slope ?

A: Recall the below fact:

Q: Find the slope of the tangent line to the curve 2² – -1 4.xy + 4y: at the point (1, - 1),

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Q: Find the slope of the tangent line to the curve y=Xarcc sin x at the point 2, Ta

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(z) =…

A:

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(r) =…

A: The limit definition of the derivative is

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: f(x)=2x2 at x=1

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

A:

Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

A:

Q: Estimate the slope of the tangent line at the point indicated. f(x) = tanx; x = 0

A: Slope of the tangent line is the derivative of the given function at the given point.

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: estimate the slope of the tangent line to the curve at the given point (x,y)

A: Given that, line is the tangent line (pink) to the curve. We need to find the slope of the tangent…

Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

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Q: What is the slope of the tangent line to the curve x2 – xy + y² = 1 at (1, 1)? %3| -1 1 1

A: Given curvex2-xy+y2=1differentiate…

Q: Estimate the slope of the tangent line to curve at the given point(x,y)

A: The given graph of the curve and its tangent line is:

Q: Use the definition of the derivative to find the equation of the tangent line to the graph of y = Vx…

A: We write 6x+3y=4 in y=mx+b form to find slope

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Estimate the slope of the tangent line at the point indicated. f(x) = lnx; x = 3

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find the tangent line to the curve ry = a +y+1 at (3,2)

A: Given data: The expression for the given curve is xy=x+y+1. The given point is (a,b)=(3,2).…