Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line perpendicular to the tangent line at that point?

Q: Find the equation of the tangent line to the curve y = 8 ln(x – 63) at the point (4,0). y =

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Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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Q: Estimate the slope of the tangent line to f(x) = tax(x) at the point x = 9π/4

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Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у)…

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…

Q: the tangent line  to the graph of y=lnx\x is perpendicular to the line x=7 at the point where?

A: The line x = 7 is perpendicular to x axis. Hence, it's slope is infinity. The tangent line that is…

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Determine the point on the curve where the slope of tangent line to the curve is -3 or 0

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Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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

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

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 slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the…

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

Q: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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

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Q: Find an equation of the line tangent to the curve defined by " + 5xy +y = 68 point (2, 2) at the

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Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

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…

Q: Find the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: The slope of a tangent line at a given point on a curve tells the rate of change for the function at…

A: Let the given curve be f(x) -  Then f'(x) will be the slope of a tangent line at a given…

Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

Q: where x = 6.

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Q: Ax) = (5x* - 3x)(2x° – 7x) en x =

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Find the equation of tangent line at the specified point  x ²/³ - y ²/³- y =1 ;(1, -1)

A: Given curve is x23-y23-y=1. To find the equation of tangent line at the point 1,-1. Solution: First…

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

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Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: Please find the slope of the tangent line to the graph of f(x) at x = 1

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Q: Explain the relationships among the slope of a tangent line, theinstantaneous rate of change, and…

A: The slope of a tangent line of f on x is,msec=f(x)-f(a)x-a

Q: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: Where on the curve y = (121+ x²) * does the tangent line have the greatest slope? NOTE: Enter the…

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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: 1. Describe the relationship between the derivative of a function to the slope of the tangent line.

A: Query- Describe the relationship between the derivative of a function to the slope of the tangent…

Q: What is the relationship between the secant line, slope of the tangent line, derivative of a…

A: Solved below

Q: Use LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: f (x) = V7x at point…

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Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Determine equation of tangent line to the curve at given point.

A: Given curve is f(x)=7x+2f(1)=7(1)+2=3 Differentiate f(x) with respect to x.…

Q: Determine the point on the curve where the slope of tangent line to the curve is 0 or -3 a) f(x)=…

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

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: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

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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: