Why is the notation startfraction dy over dx endfraction used to represent the derivative?
1 answer:
We know expression is used for represent the derivative.
Actually, derivative is the second name of " Rate of Change".
And if we read , it represents the "Rate of change of y with respect to x".
In simple words, a derivative is the rate of change or slope of a very small portion of a function.
dy represents very small change in y-coordinate and dx represents very small change in x-coordinate.
Because deriviate is the second name of " a very small rate of change".
We use to represent the derivative.
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Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.
