Tangent line: y =

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

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Q: Use implicit differentiation to find the equation of normal line to the circle y2 + x2 = 1 at the…

A: The solution for the above question is as shown below.

Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A: Given 1+x

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Q: y = 2 ||

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Q: Explain the main property of tangent function?

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Q: Explain tangent function.

A: Given: Explain tangent function

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A: The rate of change of atmospheric temperature with respect to altitude is equal to the slope of the…

Q: Estimate the slope (in y-units per x-unit) of the tangent line to the curve.

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Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

A:

Q: # 3 Find the slope of the tangent line to the curve -3x²-3xy + ly = 33 at the point (- 2, 3).…

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Q: Find the slope and equation of tangent line y=4-x^3, (-1,5)

A: Consider the given equation: y=4-x3 The point where tangent has to be calculated is (-1,5)

Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

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Q: Find the equation of the tangent line to the curve y = (2? - 8)' at point (5, 2). y =

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Q: Define the term Derivative of arcsine?

A:

Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: Determine point(s) where tangent lines to the curve is vertical / horizontal.

A:

Q: What role does the derivative play in defining slopes, tangent lines, and rates of change?

A: To determine the role of derivative of a function in defining slopes, tangent lines and rate of…

Q: find the sLope Of a tangent line hCx) = x +44 iz

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Q: %3D

A: Solving

Q: calculate the derivative

A: Given  The chain rule of derivative is given by The derivative of the hyperbolic function sech(x)…

Q: 3 + 2x +5

A: GIVENy=x3+2x+5   and x=2

Q: Explain how to find the tangent line and normal line equation when the slope is undefined?

A: It is given slope at the point is undefined say the point is (x1, y1).  The equation of tangent at…

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Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: For the curve 3e arcsin (y) + 2 (x² + y²) = 2, find the slope of the tangent line at the point…

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Q: Inc is perpendicular to the linez =7 at the point where The tangent line to the graph of y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: find equation of tangent line and normal line to the curve y = tan(x) at      (pi/4, 1)

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Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

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Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following…

Q: tangent line of the curve

A: The tangent line is the line on the curve which passes through the given point on the curve.

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A:

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Q: ential equation is given by

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Q: tangent line to the curve at the given point.

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Q: What is the derivative OF a Arcsin X y= 3

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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: Find an equation of the line that is tangent to the curve y = e* sin x at the point (0, 0). Tangent…

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: Give an example for tangent line?

A: Find the tangent line to f(x) = x2 at x = 1. We need a point and a slope. Since f(1)=1, the point we…

Q: Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is a tangent line?

A: The tangent line of a function is a straight line that passes (touches) through (not crosses or…

Q: Please use product and chain rule and label all parts Find an equation for the tangent line to the…

A: Given query is to find the equation of the tangent for the givem curve