3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope parallel to x-axis?

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

A:

Q: What is the slope of the curve at (3, 4)?

A: we have to find the slope of the curve at (3,4). from the graph we can see that the point of…

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A:

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

A:

Q: Find the equation of the line tangent to the curve y = x³ - 2x² - x + 2 at point x = 2 on the curve.

A: The slope of the tangent line is calculated as follows at

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A:

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

A:

Q: Find the points where the tangent line to the curve y = 3x² - x³ is horizontal. Select one or more:…

A:

Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

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A: Given The equation of curve is   y =ln x The tangent line passing through (2,4)

Q: SLOPE FORMULA" form. y

A:

Q: Use Newton's method to find the slope of the tangent to the curve defined as y = 7x² + 4x - 10.

A:

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: