Answer:a
Step-by-step explanation:Because four divide by three is one point and thirty three
Given:
The equation of a curve is
![y=x^3-6x^2+20](https://tex.z-dn.net/?f=y%3Dx%5E3-6x%5E2%2B20)
To find:
The values of
.
Solution:
Formulae used:
![\dfrac{d}{dx}x^n=nx^{n-1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D)
![\dfrac{d}{dx}C=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7DC%3D0)
We have,
![y=x^3-6x^2+20](https://tex.z-dn.net/?f=y%3Dx%5E3-6x%5E2%2B20)
Differentiate with respect to x.
![\dfrac{dy}{dx}=3x^{3-1}-6(2x^{2-1})+(0)](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D3x%5E%7B3-1%7D-6%282x%5E%7B2-1%7D%29%2B%280%29)
![\dfrac{dy}{dx}=3x^{2}-12x^{1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D3x%5E%7B2%7D-12x%5E%7B1%7D)
Therefore, the value of
is
.
Answer:
Step-by-step explanation:
Hello ;
y= -6
The simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴
<h3>What is an arithmetic operation?</h3>
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a mathematical expression:
= 6543549² × 4³ ÷ 8
Using BODMAS
= 6543549² × 8
= 3.4254×10¹⁴
Thus, the simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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