Difference between revisions of "Derivative and Gradient"
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| Line 4: | Line 4: | ||
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 | Then let’s say we want to know the slope of the point f(4) | ||
when <math>f(x)=x^2</math> | when <math>f(x)=x^2</math> | ||
| Line 12: | Line 13: | ||
<math>f'(x)=2x</math> | <math>f'(x)=2x</math> | ||
you will learn how do | (you will learn how to do differentiation after this just remember) < math>f'(x)=2x</math>. | ||
so no matter what when | so no matter what, when x=4 than f(x) = f(4) the slop will be equal to 8. | ||
When x=8 then <math>f(x)=64</math> then finding the slope of that point on the graph <math>f'(x)=16</math> the slope will be equals to 16. | When x=8 then <math>f(x)=64</math> then finding the slope of that point on the graph <math>f'(x)=16</math> 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. | Finding slope is one kind of way to use derivative there are lots of kind ways to use it. | ||
Revision as of 13:06, 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
Then let’s say we want to know the slope of the point f(4) when
Using derivative
(you will learn how to do differentiation after this just remember) < math>f'(x)=2x</math>.
so no matter what, when x=4 than f(x) = f(4) the slop will be equal to 8.
When x=8 then then finding the slope of that point on the graph 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.