Find all the polynomials f ( t ) of degree ≤ 2 [of the form f ( t ) = a + b t + c t 2 ] whose graphs run through the points ( 1 , 3 ) and ( 2 , 6 ) , such that f ′ ( 1 ) = 1 [where f ′ ( t ) denotes the derivative].
Find all the polynomials f ( t ) of degree ≤ 2 [of the form f ( t ) = a + b t + c t 2 ] whose graphs run through the points ( 1 , 3 ) and ( 2 , 6 ) , such that f ′ ( 1 ) = 1 [where f ′ ( t ) denotes the derivative].
Solution Summary: The author explains the solution of the polynomial of a degree le 2, whose graph run through the points (1,3) and (2,6).
Find all the polynomials
f
(
t
)
of degree
≤
2
[of the form
f
(
t
)
=
a
+
b
t
+
c
t
2
] whose graphs run through the points
(
1
,
3
)
and
(
2
,
6
)
, such that
f
′
(
1
)
=
1
[where
f
′
(
t
)
denotes the derivative].
Find a cubic polynomial
f(x)=ax^3+bx^2+cx+d
that has horizontal tangents at the points (-3,2) and (2,-4).
1. Use the definition of the derivative of complex function to show that f(z) is not differentiableat z = 0 wheref(z) = conjugate of z3/ z2 , if z is not equal to 0
and f(z) = 0, if z =0
for the funciton f(x) = x^3 - 75xIts local maximum is____, which occurs at _____>Its local minimum is _____, which occurs at ____.
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