Find an equation of the tangent line to the curve y = at the point (0, 5). + 1 y= 5x – 5

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: 4. Find the equation of the tangent line to the curve y=x-2x+3 at the point (2,3).

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Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

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Q: Find the equation of the tangent line to the given function at the given value. y = 4x3 + x at x =…

A: Given the equation of the function y=4x3+x At x=-1 the value of y on the given curve is…

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

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Q: Find an equation of the tangent line to the graph of the equation  x + y − ex − y = 3 at the point…

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Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

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Q: 6. Find the equation of the tangent line to x² + 3xy + y² = 5 at the point (1, –4).

A: Given x2+3xy+y2=5       (1,-4)

Q: Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a…

A: Topic:- application of derivatives

Q: Find an equation of the tangent line to the curve at the given point. (Round your coefficients to…

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Q: Find the equation of the tangent line to the graph of y(x) = 12( - ;)' at æ = 2. Equation of the…

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Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: Is there a formula to do this? What is the process?

A: Given curve is: First, find the slope of tangent line:

Q: 2 at the point ( 2, 1 Find an equation of the tangent line to the graph of y = e y =

A: we have to find the equation of the tangent line to the given function. We know that slope of the…

Q: Find the equation of the tangent line to ?=?^2+4?−1 at x=1 Why do you need to find the derivative…

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Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

Q: 40 60 100 What is the derivative of y(t)?

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Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

Q: te 2. 2t t.

A: Given,            y =tet + 2e2t + 1  To Find: Derivative of above

Q: Find the slope of the tangent line to the curve defined by 3x + xy - 2y = 56 at the point (2, 5).…

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Q: Find the slope of the tangent line to the curve defined by (4x^6)+xy−(5y^5)=259 at the point…

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: How do I find the derivative of this problem?

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Q: Find the equation of the tangent line to the curve at the given point. y = 4x^2-x^3, (1,3)

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = sinh(25 –…

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Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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Q: Find the equation of the tangent line to the curve y = 2 + 3 cos x if the tangent line is parallel…

A: We have to find the tangent line to the curve .

Q: c) Find the equation of the tangent line to the function y = sec²x at the point (2:2).

A: Given function as y=sec2x

Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: Find the equation of the tangent line to the curve y = e - x that is parallel to the line y = 1 - 2…

A: Consider the curves, y=e-x…

Q: Find the equation of tangent and vertical line to the curve g=x+1/x at point (0,1)

A: First we want to check whether the given point is in the domain of the given function.

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: 5. Find the equation of the tangent line to the curve at the given point 4 X X+3 (1,1) %3D

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Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

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Q: curve at the following point:  y = 2/ 1 + e-x, (0,1)

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Q: Write the equation of the tangent to the graph of xy^3+xy=16, at the point (8,1).  Write all of…

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Q: Find the equation of the tangent line to the curve y = ex at 0, 1+8 ex What is the equation of the…

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Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: How do I find the derivative of this problem?

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Q: 32. y t + e3t

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Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

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Q: Find an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

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Q: 8) Using your derivative from the previous question, determine the equation of the tangent line at…

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Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

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Q: How do I find the derivative of this problem?

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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: