Difference between revisions of "Derivative and Gradient"
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In the introduction we | In the introduction, we mentioned Derivative equals to gradient and also slope. | ||
The derivative can be used to find any point-slope in a function | The derivative can be used to find any point-slope in a function. | ||
For example | For example | ||
<math>f(x)=x^2</math> | <math>f(x)=x^2</math> | ||
Then let’s say we want to know the slope of the point when f(4) | |||
when <math>f(x)=x^2</math> | |||
Using derivative | Using derivative | ||
<math>f'(x)=2x</math> | <math>f'(x)=2x</math> | ||
you will learn this after just need to know | you will learn this after just need to know will get <math>f'(x)=2x</math>. | ||
so no matter what when the f(4) the slop will be equal to 8. | so no matter what when the f(4) the slop will be equal to 8. | ||
Revision as of 12:59, 24 September 2021
In the introduction, we mentioned Derivative equals to gradient and also slope.
The derivative can be used to find any point-slope in a function.
For example Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=x^2}
Then let’s say we want to know the slope of the point when f(4) when Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=x^2}
Using derivative Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f'(x)=2x} you will learn this after just need to know will get Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f'(x)=2x} .
so no matter what when the f(4) the slop will be equal to 8.
When x=8 then Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=64} then finding the slope of that point on the graph Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f'(x)=16} the slope will be equals to 16.
Finding slope is one kind of way to use derivative there are lots of kind ways to use it.