Answered By: Gabriel Turner Date: created: Aug 08 2021

### Result

Key moments in video
From 01:27 — The Equation for the Tangent at the Point X Equal Minus 1

From 03:32 — Plotting Program

From 04:58 — Wolfram Alpha

From 06:01 — Review

From 06:18 — The Tangent Equation and the Normal Equation

Key moments in video
From 00:03 — Example 1

From 04:21 — Example 2

Key moments in video
From 00:49 — What Derivatives Are

From 03:41 — Derivative of More than One Function

From 04:31 — Higher-Order Derivatives

From 05:17 — Find the Derivative with Respect to More than One Variable

From 07:19 — Visualize the Derivative

From 08:02 — Find the Slope of an Algebraic Function

From 08:47 — Plot of the Function along with Its Tangent

From 10:42 — The Product Rule and the Quotient Rule

From 12:03 — Quotient Rule

Key moments in video
From 00:23 — Start up wolfram alpha notebook

From 04:10 — Learn the basics of the wolfram language

From 09:39 — Graph multiple equations on the same set of axes

From 12:23 — Find a drop down menu in the lower right hand corner

From 14:57 — Start to differentiate the sum term by term

From 19:46 — Find the limit at x equals zero

From 24:47 — Get that histogram

From 27:28 — Select palettes

From 30:00 — Make a new horizontal eye beam after slide 4

From 32:21 — Save this presentation notebook under a different names

Key moments in video
From 00:46 — Finding the Slope of the Tangent Line

From 01:14 — Using the point – slope formula

From 02:50 — Using the tangent line to check your work

From 03:28 — Conclusion

Key moments in video
From 00:42 — Part (a) Slopes of Secant Lines

From 04:48 — Part (b) Averaging Slopes

From 05:25 — Part (c) Plot the Results

## Related querie

Answered By: Colin Mitchell Date: created: Jul 01 2022

### What is the formula for slope of a tangent line?

Figure out the slope of the tangent line. This is m=fâ€²(a)=limxâ†’af(x)âˆ’f(a)xâˆ’a=limhâ†’0f(a+h)âˆ’f(a)h. Use the point-slope formula yâˆ’y0=m(xâˆ’x0) to get the equation of the line: yâˆ’f(a)=m(xâˆ’a).

### How do you find the tangent line of an equation?

The equation of the tangent line can be found using the formula y â€“ y1 = m (x â€“ x1), where m is the slope and (x1, y1) is the coordinate points of the line.

### What is the normal line?

The normal line to a curve at a particular point is the line through that point and perpendicular to the tangent. A person might remember from analytic geometry that the slope of any line perpendicular to a line with slope m is the negative reciprocal âˆ’1/m.

### How do you find the horizontal tangent line?

Horizontal lines have a slope of zero. Therefore, when the derivative is zero, the tangent line is horizontal. To find horizontal tangent lines, use the derivative of the function to locate the zeros and plug them back into the original equation.

### How do you find the vertical tangent line?

Use a straight edge to verify that the tangent line points straight up and down at that point. Test the point by plugging it into the formula (if given). If the right-hand side of the equation differs from the left-hand side (or becomes zero), then there is a vertical tangent line at that point.

### What is the formula for the slope of a tangent line?

Figure out the slope of the tangent line. This is m=fâ€²(a)=limxâ†’af(x)âˆ’f(a)xâˆ’a=limhâ†’0f(a+h)âˆ’f(a)h. Use the point-slope formula yâˆ’y0=m(xâˆ’x0) to get the equation of the line: yâˆ’f(a)=m(xâˆ’a).

### What is the normal line in physics?

A normal line is a line drawn perpendicular to a mirror surface at the location where a ray of light strikes the surface.

### What is the normal line in refraction?

The normal line is the line drawn perpendicular to the reflective surface of a mirror, or the boundary where refraction occurs (such as the surface of a lens) at the point of incidence of a light ray.

### How do you find the normal line?

The normal line is defined as the line that is perpendicular to the tangent line at the point of tangency. Because the slopes of perpendicular lines (neither of which is vertical) are negative reciprocals of one another, the slope of the normal line to the graph of f(x) is âˆ’1/ fâ€²(x).

### What is the tangent of a 30 angle?

The exact value of tan 30Â° is 0.57735. The value of tangent of angle 30 degrees can also be evaluated using the values of sin 30 degrees and cos 30 degrees.

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Answer in 60sInput interpretationResultKey moments in videoFrom 01:27 -- The Equation for the Tangent at the Point X Equal Minus 1From 03:32 -- Plotting ProgramFrom 04:58 -- Wolfram AlphaFrom 06:01 -- ReviewFrom 06:18 -- The Tangent Equation and the Normal EquationKey moments in videoFrom 00:03 -- Example 1From 04:21 -- Example 2Key moments in videoFrom 00:49 -- What Derivatives AreFrom 03:41 -- Derivative of More than One FunctionFrom 04:31 -- Higher-Order DerivativesFrom 05:17 -- Find the Derivative with Respect to More than One VariableFrom 07:19 -- Visualize the DerivativeFrom 08:02 -- Find the Slope of an Algebraic FunctionFrom 08:47 --…

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Answer in 60sInputRootProperties as a real functionDerivativeIndefinite integralAlternative representationsKey moments in videoFrom 00:45 -- Log definitionFrom 00:55 -- Definition of LogarithmFrom 03:17 -- Example: LogarithmsFrom 04:05 -- Common Bases for LogarithmsFrom 04:16 -- Common BasesFrom 15:28 -- 6th PropertyFrom 16:00 -- Change of BaseFrom 16:25 -- Quotient Property of LogarithmsFrom 20:50 -- Simplify Logarithms examplesFrom 22:38 -- Using Shift + Enter to Check Your WorkRelated queriesHow do you type log base on a keyboard?Open the document and place the cursor at the point where you want to insert the logarithm. Type "log," followed by the subscript icon given under the…

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