Difference between revisions of "Derivative and Gradient"

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 $f(x)=x^{2}$

Then let’s say we want to know the slope of the point when f(4) when $f(x)=x^{2}$

Using derivative $f'(x)=2x$ you will learn this after just need to know will get $f'(x)=2x$ .

so no matter what when the f(4) the slop will be equal to 8.

When x=8 then $f(x)=64$ then finding the slope of that point on the graph $f'(x)=16$ 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.

@@ Line 1: / Line 1: @@
-In the introduction we have talked about Derivative is equal to gradient and also slop.
+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
 <math>f(x)=x^2</math>
-Than let’s say we want to know slope the of the point when f(4)
+Then let’s say we want to know the slope of the point when f(4)
-and <math>f(x)=x^2</math>
+when <math>f(x)=x^2</math>
 Using derivative
 <math>f'(x)=2x</math>
-you will learn this after just need to know will will get <math>f'(x)=2x</math>.
+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.