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Mathematics
Mathematics
Problem
Consider the function
f
:
x
↦
3
x
2
−
5
x
+
k
f : x \mapsto 3x^2 - 5x + k
f
:
x
↦
3
x
2
−
5
x
+
k
. The equation of the tangent to the graph of
f
f
f
at
x
=
p
x = p
x
=
p
is
y
=
7
x
−
9
y = 7x - 9
y
=
7
x
−
9
. a. Write down
f
′
(
x
)
f'(x)
f
′
(
x
)
. b. Find the value of
p
p
p
. c. Find the value of
k
k
k
.
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