Firstly , before solving the equation , we should know about the chain rule and its formula.
<u>Formula</u><u> </u><u>For</u><u> </u><u>the</u><u> </u><u>Chain</u><u> </u><u>rule-</u>
$\rightarrow$ $\sf\dfrac\pink{dy}\pink{dx}$=$\sf\dfrac\pink{dy}\pink{du}$ $\times$ $\sf\dfrac\pink{du}\pink{dx}$ $\leftarrow$
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$\sf\huge\underline{\underline{Question:}}$
$\sf\small{Differentiate\: x\: the \:function: (3x² - 9x + 5²)}$
$\sf\huge\underline{\underline{Solution:}}$
$\sf{Let\:y = (3x^2 - 9x + 5)^9}$
$\space$
☆ Differentiating both the sides w.r.t.x using chain rule-
$\mapsto$
$\space$
$\space$
$\mapsto$ = $\sf\small{(3x^2-9+5)}$
$\space$
$\space$
$\mapsto$ =
$\space$
$\space$
$\mapsto$ = $\times$
$\space$
$\space$
$\mapsto$ =
$\space$
$\space$
$\sf\underline\bold\green{❍ dy:dx=27(3x^2-9x+5)^8(2x-3)}$
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Sub -2 for x
g(-2)=-(-2)+8
g(-2)=2+8
g(-2)=10
Answer:
A. 9x
B. ( 2 + 3 + 4 ) x
Step-by-step explanation:
2x + 3x + 4x = 9x
2x + 3x + 4x
= ( 2 + 3 + 4 ) x
We have been given a statement written by Galen which is
"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."
Now we need to select which statements are true regarding his work.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."
Answer:
TRUE
B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
Answer:
TRUE
C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
Answer:
FALSE, I agree that it has not used the word "then" but meaning of the statement is in the form of if then clause.
D:The statement can be proven true or false.
Answer:
TRUE, As you can take some example of any random number to test that.
E:The conclusion of the statement is written before the hypothesis.
Answer:
FALSE.
Answer:
1/2,3/6,5/10,8/16
Step-by-step explanation:
they all equal 1/2
Im not sure if thats what it was asking but yea