derivation of y=ax^2+b
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Answer:
answer
Step-by-step explanation:
differentiate using the
power rule
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
a
a
d
d
x
(
a
x
n
)
=
n
a
x
n
−
1
a
a
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
and
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
a
a
d
d
x
(
constant
)
=
0
a
a
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
y
=
a
x
2
+
b
x
+
c
←
c is a constant
⇒
d
y
d
x
=
2
a
x
2
−
1+bx1−1+0=2ax1m+bx0+0=2ax+b
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